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Volumn 2007, Issue 9, 2007, Pages

The Dirichlet Casimir effect for φ4 theory in (3 + 1) dimensions: A new renormalization approach

Author keywords

Field theories in higher dimensions; Renormalization regularization and renormalons

Indexed keywords


EID: 34948876261     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/09/029     Document Type: Article
Times cited : (32)

References (65)
  • 1
    • 0001286178 scopus 로고
    • On the attraction between two perfectly conducting plates
    • H.B.G. Casimir, On the attraction between two perfectly conducting plates 1948 Proc. Kon. Nederl. Akad. Wet. 51 793
    • (1948) Proc. Kon. Nederl. Akad. Wet. , vol.51 , pp. 793
    • Casimir, H.B.G.1
  • 2
    • 36149011366 scopus 로고
    • The influence of retardation on the London-van der Waals forces
    • H.B.G. Casimir and D. Polder, The influence of retardation on the London-van der Waals forces 1948 Phys. Rev. 73 360
    • (1948) Phys. Rev. , vol.73 , Issue.4 , pp. 360
    • Casimir, H.B.G.1    Polder, D.2
  • 3
    • 0001819981 scopus 로고
    • Properties of the vacuum, 1. Mechanical and thermodynamic
    • J. Ambjørn and S. Wolfram, Properties of the vacuum, 1. Mechanical and thermodynamic 1983 Ann. Phys. (NY) 147 1
    • (1983) Ann. Phys. (NY) , vol.147 , Issue.1 , pp. 1
    • Ambjørn, J.1    Wolfram, S.2
  • 4
    • 33746584933 scopus 로고
    • Casimir effect in a d-dimensional flat space-time and the cutoff method
    • N.F. Svaiter and B.F. Svaiter, Casimir effect in a d-dimensional flat space-time and the cutoff method 1991 J. Math. Phys. 32 175
    • (1991) J. Math. Phys. , vol.32 , Issue.1 , pp. 175
    • Svaiter, N.F.1    Svaiter, B.F.2
  • 6
    • 4944263914 scopus 로고    scopus 로고
    • The Casimir effect: Recent controversies and progress
    • K.A. Milton, The Casimir effect: recent controversies and progress 2004 J. Phys. A: Math. Gen. 37 R209
    • (2004) J. Phys. A: Math. Gen. , vol.37 , Issue.38 , pp. 209
    • Milton, K.A.1
  • 7
    • 0008992255 scopus 로고
    • Quantum field theoretic treatment of the Casimir effect
    • M. Bordag, D. Robaschik and E. Wieczorek, Quantum field theoretic treatment of the Casimir effect 1985 1985 Ann. Phys. (NY) 165 192
    • (1985) Ann. Phys. (NY) , vol.165 , Issue.1 , pp. 192
    • Bordag, M.1    Robaschik, D.2    Wieczorek, E.3
  • 8
    • 0542422602 scopus 로고    scopus 로고
    • Radiative correction to the casimir force on a sphere
    • M. Bordag and J. Lindig, Radiative correction to the casimir force on a sphere 1998 Phys. Rev. D 58 045003 [hep-th/9801129]
    • (1998) Phys. Rev. , vol.58 , Issue.4 , pp. 045003
    • Bordag, M.1    Lindig, J.2
  • 9
    • 0007751552 scopus 로고
    • Radiative corrections to the Casimir pressure under the influence of temperature and external fields
    • D. Robaschik, K. Scharnhorst and E. Wieczorek, Radiative corrections to the Casimir pressure under the influence of temperature and external fields 1987 1987 Ann. Phys. (NY) 174 401
    • (1987) Ann. Phys. (NY) , vol.174 , Issue.2 , pp. 401
    • Robaschik, D.1    Scharnhorst, K.2    Wieczorek, E.3
  • 10
    • 4243590028 scopus 로고    scopus 로고
    • O(alpha) radiative correction to the Casimir energy for penetrable mirrors
    • M. Bordag and K. Scharnhorst, O(alpha) radiative correction to the Casimir energy for penetrable mirrors 1998 Phys. Rev. Lett. 81 3815 [hep-th/9807121]
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.18 , pp. 3815
    • Bordag, M.1    Scharnhorst, K.2
  • 11
    • 0010079634 scopus 로고
    • Casimir effect of scalar field on S(n-1) manifold
    • S.-S. Xue, Casimir effect of scalar field on S(n-1) manifold 1989 Commun. Theor. Phys. 11 243
    • (1989) Commun. Theor. Phys. , vol.11 , pp. 243
    • Xue, S.-S.1
  • 12
    • 0034888264 scopus 로고    scopus 로고
    • Radiative corrections to the Casimir energy and effective field theory
    • F. Ravndal and J.B. Thomassen, Radiative corrections to the Casimir energy and effective field theory 2001 Phys. Rev. D 63 113007 [hep-th/0101131]
    • (2001) Phys. Rev. , vol.63 , Issue.11 , pp. 113007
    • Ravndal, F.1    Thomassen, J.B.2
  • 13
    • 0001065455 scopus 로고    scopus 로고
    • Radiative corrections to the Casimir energy
    • X. Kong and F. Ravndal, Radiative corrections to the Casimir energy 1997 Phys. Rev. Lett. 79 545 [quant-ph/9703019]
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.4 , pp. 545
    • Kong, X.1    Ravndal, F.2
  • 14
    • 0035881320 scopus 로고    scopus 로고
    • Radiative corrections to the Casimir force and effective field theories
    • K. Melnikov, Radiative corrections to the Casimir force and effective field theories 2001 Phys. Rev. D 64 045002 [hep-ph/0101228]
    • (2001) Phys. Rev. , vol.64 , Issue.4 , pp. 045002
    • Melnikov, K.1
  • 15
    • 0000645358 scopus 로고
    • Casimir effect for a self-interacting scalar field
    • L.H. Ford, Casimir effect for a self-interacting scalar field 1979 Proc. Roy. Soc. London A 368 305
    • (1979) Proc. Roy. Soc. London A , vol.368 , pp. 305
    • Ford, L.H.1
  • 16
    • 35949029227 scopus 로고
    • The Casimir effect without magic
    • B.S. Kay, The Casimir effect without magic 1979 Phys. Rev. D 20 3052
    • (1979) Phys. Rev. , vol.20 , Issue.12 , pp. 3052
    • Kay, B.S.1
  • 17
    • 33744666472 scopus 로고
    • Symmetry breaking and mass generation by space-time topology
    • D.J. Toms, Symmetry breaking and mass generation by space-time topology 1980 Phys. Rev. D 21 2805
    • (1980) Phys. Rev. , vol.21 , Issue.10 , pp. 2805
    • Toms, D.J.1
  • 18
    • 0012790161 scopus 로고
    • Casimir effect of strongly interacting scalar fields
    • K. Langfeld, F. Schmuser and H. Reinhardt, Casimir effect of strongly interacting scalar fields 1995 Phys. Rev. D 51 765 [hep-ph/9307258]
    • (1995) Phys. Rev. , vol.51 , Issue.2 , pp. 765
    • Langfeld, K.1    Schmuser, F.2    Reinhardt, H.3
  • 19
    • 0001205389 scopus 로고    scopus 로고
    • Casimir pressure at two loops and soft boundaries at finite temperature
    • L.C. de Albuquerque, Casimir pressure at two loops and soft boundaries at finite temperature 1997 Phys. Rev. D 55 7754
    • (1997) Phys. Rev. , vol.55 , Issue.12 , pp. 7754
    • De Albuquerque, L.C.1
  • 20
    • 0001864826 scopus 로고    scopus 로고
    • New developments in the Casimir effect
    • M. Bordag, U. Mohideen and V.M. Mostepanenko, New developments in the Casimir effect 2001 Phys. Rep. 353 1 [quant-ph/0106045]
    • (2001) Phys. Rep. , vol.353 , Issue.1-3 , pp. 1
    • Bordag, M.1    Mohideen, U.2    Mostepanenko, V.M.3
  • 21
    • 10744224877 scopus 로고    scopus 로고
    • Radiative corrections to the Casimir effect for the massive scalar field
    • F.A. Baron, R.M. Cavalcanti and C. Farina, Radiative corrections to the Casimir effect for the massive scalar field 2004 Nucl. Phys. (Proc. Suppl.) 127 118
    • (2004) Nucl. Phys. (Proc. Suppl.) , vol.127 , pp. 118
    • Baron, F.A.1    Cavalcanti, R.M.2    Farina, C.3
  • 23
    • 0037139695 scopus 로고    scopus 로고
    • Casimir effects in renormalizable quantum field theories
    • N. Graham, R.L. Jaffe and H. Weigel, Casimir effects in renormalizable quantum field theories 2002 Int. J. Mod. Phys. A 17 846 [hep-th/0201148]
    • (2002) Int. J. Mod. Phys. , vol.17 , pp. 846
    • Graham, N.1    Jaffe, R.L.2    Weigel, H.3
  • 24
    • 0037010624 scopus 로고    scopus 로고
    • Calculating vacuum energies in renormalizable quantum field theories: A new approach to the Casimir problem
    • N. Graham et al., Calculating vacuum energies in renormalizable quantum field theories: a new approach to the Casimir problem 2002 Nucl. Phys. B 645 49 [hep-th/0207120]
    • (2002) Nucl. Phys. , vol.645 , Issue.1-2 , pp. 49
    • Graham, N.1
  • 25
    • 0347076370 scopus 로고    scopus 로고
    • Casimir energies in light of quantum field theory
    • N. Graham et al., Casimir energies in light of quantum field theory 2003 Phys. Lett. B 572 196 [hep-th/0207205]
    • (2003) Phys. Lett. , vol.572 , Issue.3-4 , pp. 196
    • Graham, N.1
  • 26
    • 0348163765 scopus 로고    scopus 로고
    • The Dirichlet Casimir problem
    • N. Graham et al., The Dirichlet Casimir problem 2004 Nucl. Phys. B 677 379 [hep-th/0309130]
    • (2004) Nucl. Phys. , vol.677 , pp. 379
    • Graham, N.1
  • 27
    • 0035605347 scopus 로고    scopus 로고
    • Finite size effects in the anisotropic λ/4!(φ14+phi24) model
    • 4) model 2001 J. Math. Phys. 42 5185 [hep-th/9910068]
    • (2001) J. Math. Phys. , vol.42 , Issue.11 , pp. 5185
    • Fosco, C.D.1    Svaiter, N.F.2
  • 28
    • 0036767908 scopus 로고    scopus 로고
    • Boundary conditions as mass generation mechanism for real scalar fields
    • J.A. Nogueria and P.L. Barbieri, Boundary conditions as mass generation mechanism for real scalar fields 2002 Braz. J. Phys. 32 798
    • (2002) Braz. J. Phys. , vol.32 , Issue.3 , pp. 798
    • Nogueria, J.A.1    Barbieri, P.L.2
  • 29
    • 0346671133 scopus 로고    scopus 로고
    • Effective lagrangians for scalar fields and finite size effects in field theory
    • M.I. Caicedo and N.F. Svaiter, Effective lagrangians for scalar fields and finite size effects in field theory 2004 J. Math. Phys. 45 179 [hep-th/0207202]
    • (2004) J. Math. Phys. , vol.45 , Issue.1 , pp. 179
    • Caicedo, M.I.1    Svaiter, N.F.2
  • 30
    • 13644257230 scopus 로고    scopus 로고
    • Finite size effects in thermal field theory
    • N.F. Svaiter, Finite size effects in thermal field theory 2004 J. Math. Phys. 45 4524 [hep-th/0410016]
    • (2004) J. Math. Phys. , vol.45 , Issue.12 , pp. 4524
    • Svaiter, N.F.1
  • 33
    • 35949018645 scopus 로고
    • Asymptotic freedom in deep inelastic processes in the leading order and beyond
    • A.J. Buras, Asymptotic freedom in deep inelastic processes in the leading order and beyond 1980 Rev. Mod. Phys. 52 199
    • (1980) Rev. Mod. Phys. , vol.52 , Issue.1 , pp. 199
    • Buras, A.J.1
  • 35
    • 0000626035 scopus 로고
    • Two-loop quantum corrections to the soliton mass in two-dimensional scalar field theories
    • H.J. de Vega, Two-loop quantum corrections to the soliton mass in two-dimensional scalar field theories 1976 Nucl. Phys. B 115 411
    • (1976) Nucl. Phys. , vol.115 , Issue.3 , pp. 411
    • De Vega, H.J.1
  • 36
    • 4243533054 scopus 로고
    • Soliton mass corrections and explicit models in two-dimensions
    • M.A. Lohe and D.M. O'Brien, Soliton mass corrections and explicit models in two-dimensions 1981 Phys. Rev. D 23 1771
    • (1981) Phys. Rev. , vol.23 , Issue.8 , pp. 1771
    • Lohe, M.A.1    O'Brien, D.M.2
  • 37
    • 0033620536 scopus 로고    scopus 로고
    • Fermionic one-loop corrections to soliton energies in 1+1 dimensions
    • N. Graham and R.L. Jaffe, Fermionic one-loop corrections to soliton energies in 1+1 dimensions 1999 Nucl. Phys. B 549 516 [hep-th/9901023]
    • (1999) Nucl. Phys. , vol.549 , Issue.1-2 , pp. 516
    • Graham, N.1    Jaffe, R.L.2
  • 38
    • 0000350298 scopus 로고    scopus 로고
    • Heavy fermion stabilization of solitons in 1+1 dimensions
    • E. Farhi, N. Graham, R.L. Jaffe and H. Weigel, Heavy fermion stabilization of solitons in 1+1 dimensions 2000 Nucl. Phys. B 585 443 [hep-th/0003144]
    • (2000) Nucl. Phys. , vol.585 , Issue.1-2 , pp. 443
    • Farhi, E.1    Graham, N.2    Jaffe, R.L.3    Weigel, H.4
  • 40
    • 0037194240 scopus 로고    scopus 로고
    • Generalized zeta functions and one-loop corrections to quantum kink masses
    • A.A. Izquierdo, W.G. Fuertes, M.A. Gonzlez Len and J.M. Guilarte, Generalized zeta functions and one-loop corrections to quantum kink masses 2002 Nucl. Phys. B 635 525
    • (2002) Nucl. Phys. , vol.635 , Issue.3 , pp. 525
    • Izquierdo, A.A.1    Fuertes, W.G.2    Gonzlez Len, M.A.3    Guilarte, J.M.4
  • 41
    • 0037421116 scopus 로고    scopus 로고
    • The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction
    • A. Rebhan, P. van Nieuwenhuizen and R. Wimmer, The anomaly in the central charge of the supersymmetric kink from dimensional regularization and reduction 2003 Nucl. Phys. B 648 174 [hep-th/0207051]
    • (2003) Nucl. Phys. , vol.648 , Issue.1-2 , pp. 174
    • Rebhan, A.1    Van Nieuwenhuizen, P.2    Wimmer, R.3
  • 42
    • 1142266782 scopus 로고    scopus 로고
    • One-loop correction to classical masses of quantum kink families
    • A.A. Izquierdo, W.G. Fuertes, M.A. Gonzlez Len and J.M. Guilarte, One-loop correction to classical masses of quantum kink families 2004 Nucl. Phys. B 681 163 [hep-th/0304125]
    • (2004) Nucl. Phys. , vol.681 , Issue.1-2 , pp. 163
    • Izquierdo, A.A.1    Fuertes, W.G.2    Gonzlez Len, M.A.3    Guilarte, J.M.4
  • 43
    • 0031584006 scopus 로고    scopus 로고
    • No saturation of the quantum bogomolnyi bound by two-dimensional N ≤ 1 supersymmetric solitons
    • A. Rebhan and P. van Nieuwenhuizen, No saturation of the quantum bogomolnyi bound by two-dimensional N ≤ 1 supersymmetric solitons 1997 Nucl. Phys. B 508 449 [hep-th/9707163]
    • (1997) Nucl. Phys. , vol.508 , Issue.1-2 , pp. 449
    • Rebhan, A.1    Van Nieuwenhuizen, P.2
  • 44
    • 0033535284 scopus 로고    scopus 로고
    • Topological boundary conditions, the BPS bound and elimination of ambiguities in the quantum mass of solitons
    • H. Nastase, M.A. Stephanov, P. van Nieuwenhuizen and A. Rebhan, Topological boundary conditions, the BPS bound and elimination of ambiguities in the quantum mass of solitons 1999 Nucl. Phys. B 542 471 [hep-th/9802074]
    • (1999) Nucl. Phys. , vol.542 , Issue.1-2 , pp. 471
    • Nastase, H.1    Stephanov, M.A.2    Van Nieuwenhuizen, P.3    Rebhan, A.4
  • 45
    • 0035881299 scopus 로고    scopus 로고
    • Mode regularization of the SUSY sphaleron and kink: Zero modes and discrete gauge symmetry
    • A.S. Goldhaber, A. Litvintsev and P. van Nieuwenhuizen, Mode regularization of the SUSY sphaleron and kink: zero modes and discrete gauge symmetry 2001 Phys. Rev. D 64 045013 [hep-th/0011258]
    • (2001) Phys. Rev. , vol.64 , Issue.4 , pp. 045013
    • Goldhaber, A.S.1    Litvintsev, A.2    Van Nieuwenhuizen, P.3
  • 46
    • 0037194806 scopus 로고    scopus 로고
    • One loop renormalization of soliton quantum mass corrections in 1+1 dimensional scalar field theory models
    • G. Flores-Hidalgo, One loop renormalization of soliton quantum mass corrections in 1+1 dimensional scalar field theory models 2002 Phys. Lett. B 542 282 [hep-th/0206047]
    • (2002) Phys. Lett. , vol.542 , Issue.3-4 , pp. 282
    • Flores-Hidalgo, G.1
  • 47
    • 11044234163 scopus 로고    scopus 로고
    • New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles)
    • A. Rebhan, P. van Nieuwenhuizen and R. Wimmer, New developments in the quantization of supersymmetric solitons (kinks, vortices and monopoles) 2004 Braz. J. Phys. 34 1273
    • (2004) Braz. J. Phys. , vol.34 , pp. 1273
    • Rebhan, A.1    Van Nieuwenhuizen, P.2    Wimmer, R.3
  • 49
    • 0000643105 scopus 로고
    • Nonperturbative methods and extended hadron models in field theory. 1. Semiclassical functional methods
    • R.F. Dashen, B. Hasslacher and A. Neveu, Nonperturbative methods and extended hadron models in field theory. 1. Semiclassical functional methods 1974 Phys. Rev. D 10 4114
    • (1974) Phys. Rev. , vol.10 , Issue.12 , pp. 4114
    • Dashen, R.F.1    Hasslacher, B.2    Neveu, A.3
  • 50
    • 4244189506 scopus 로고
    • Nonperturbative methods and extended hadron models in field theory. 2. Two-dimensional models and extended hadrons
    • R.F. Dashen, B. Hasslacher and A. Neveu, Nonperturbative methods and extended hadron models in field theory. 2. Two-dimensional models and extended hadrons 1974 Phys. Rev. D 10 4130
    • (1974) Phys. Rev. , vol.10 , Issue.12 , pp. 4130
    • Dashen, R.F.1    Hasslacher, B.2    Neveu, A.3
  • 51
    • 25744458134 scopus 로고
    • Semiclassical bound states in an asymptotically free theory
    • R.F. Dashen, B. Hasslacher and A. Neveu, Semiclassical bound states in an asymptotically free theory 1975 Phys. Rev. D 12 2443
    • (1975) Phys. Rev. , vol.12 , Issue.8 , pp. 2443
    • Dashen, R.F.1    Hasslacher, B.2    Neveu, A.3
  • 52
    • 37449007944 scopus 로고    scopus 로고
    • A new renormalization approach to the Dirichlet Casimir effect for φ4 theory in (1+1) dimensions
    • 4 theory in (1+1) dimensions [0708.3428], to appear in Phys. Lett. B
    • Phys. Lett. B
    • Moazzemi, R.1    Gousheh, S.S.2
  • 54
    • 0001419523 scopus 로고
    • Zeta functions and the Casimir energy
    • S. Blau, M. Visser and A. Wipf, Zeta functions and the Casimir energy 1988 Nucl. Phys. B 310 163
    • (1988) Nucl. Phys. , vol.310 , Issue.1 , pp. 163
    • Blau, S.1    Visser, M.2    Wipf, A.3
  • 55
    • 0001025287 scopus 로고
    • Casimir effect for a D-dimensional sphere
    • C.M. Bender and K.A. Milton, Casimir effect for a D-dimensional sphere 1994 Phys. Rev. D 50 6547 [hep-th/9406048]
    • (1994) Phys. Rev. , vol.50 , Issue.10 , pp. 6547
    • Bender, C.M.1    Milton, K.A.2
  • 56
    • 36049058991 scopus 로고
    • Quantum electromagnetic zero-point energy of a conducting spherical shell and the Casimir model for a charged particle
    • T.H. Boyer, Quantum electromagnetic zero-point energy of a conducting spherical shell and the Casimir model for a charged particle 1968 Phys. Rev. 174 1764
    • (1968) Phys. Rev. , vol.174 , Issue.5 , pp. 1764
    • Boyer, T.H.1
  • 57
    • 33646797398 scopus 로고    scopus 로고
    • Boundary conditions at spatial infinity for fields in Casimir calculations
    • V.V. Nesterenko, Boundary conditions at spatial infinity for fields in Casimir calculations 2006 J. Phys. A: Math. Gen. 39 6609
    • (2006) J. Phys. A: Math. Gen. , vol.39 , Issue.21 , pp. 6609
    • Nesterenko, V.V.1
  • 58
    • 0002299935 scopus 로고
    • Schrödinger representation and Casimir effect in renormalizable quantum field theory
    • K. Symanzik, Schrödinger representation and Casimir effect in renormalizable quantum field theory, 1981 Nucl. Phys. B 190 1
    • (1981) Nucl. Phys. , vol.190 , Issue.1 , pp. 1
    • Symanzik, K.1
  • 59
    • 29444437932 scopus 로고
    • Free energy and specific heat of critical films and surfaces
    • M. Krech and S. Dietrich, Free energy and specific heat of critical films and surfaces 1992 Phys. Rev. A 46 1886
    • (1992) Phys. Rev. , vol.46 , Issue.4 , pp. 1886
    • Krech, M.1    Dietrich, S.2
  • 60
    • 0000126715 scopus 로고    scopus 로고
    • Hadronic contributions to the muon lifetime
    • T. van Ritbergen and R.G. Stuart, Hadronic contributions to the muon lifetime 1998 Phys. Lett. B 437 201 [hep-ph/9802341]
    • (1998) Phys. Lett. , vol.437 , Issue.1-2 , pp. 201
    • Van Ritbergen, T.1    Stuart, R.G.2
  • 61
    • 21644456876 scopus 로고    scopus 로고
    • Radius stabilization by two-loop Casimir energy
    • G. von Gersdorff and A. Hebecker, Radius stabilization by two-loop Casimir energy 2005 Nucl. Phys. B 720 211
    • (2005) Nucl. Phys. , vol.720 , Issue.1-2 , pp. 211
    • Von Gersdorff, G.1    Hebecker, A.2


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