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Volumn 2013, Issue 7, 2013, Pages

Redundant operators in the exact renormalisation group and in the f (R) approximation to asymptotic safety

Author keywords

Models of Quantum Gravity; Nonperturbative Effects; Renormalization Group

Indexed keywords


EID: 84881361372     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP07(2013)064     Document Type: Article
Times cited : (96)

References (50)
  • 1
    • 0011040162 scopus 로고
    • Ultraviolet divergences in quantum theories of gravitation
    • S.W. Hawking W. Israel (eds) Cambridge Univ. Pr Cambridge U.K
    • S. Weinberg, Ultraviolet divergences in quantum theories of gravitation, in General relativity, S.W. Hawking and W. Israel eds., Cambridge Univ. Pr., Cambridge U.K. (1980), pg. 790.
    • (1980) General Relativity , pp. 790
    • Weinberg, S.1
  • 2
    • 0001742901 scopus 로고    scopus 로고
    • Nonperturbative evolution equation for quantum gravity
    • 1607629 1998PhRvD.57.971R [hep-th/9605030] [INSPIRE]
    • M. Reuter, Nonperturbative evolution equation for quantum gravity, Phys. Rev. D 57 (1998) 971 [ hep-th/9605030 ] [ INSPIRE ].
    • (1998) Phys. Rev. D , vol.57 , pp. 971
    • Reuter, M.1
  • 3
    • 33845349502 scopus 로고    scopus 로고
    • The asymptotic safety scenario in quantum gravity
    • M. Niedermaier and M. Reuter, The asymptotic safety scenario in quantum gravity, Living Rev. Rel. 9 (2006) 5.
    • (2006) Living Rev. Rel. , vol.9 , pp. 5
    • Niedermaier, M.1    Reuter, M.2
  • 6
    • 84861943934 scopus 로고    scopus 로고
    • Quantum Einstein gravity
    • 3006146 2012NJPh.14e5022R 10.1088/1367-2630/14/5/055022 [arXiv:1202.2274] [INSPIRE]
    • M. Reuter and F. Saueressig, Quantum Einstein gravity, New J. Phys. 14 (2012) 055022 [ arXiv:1202.2274 ] [ INSPIRE ].
    • (2012) New J. Phys. , vol.14 , pp. 055022
    • Reuter, M.1    Saueressig, F.2
  • 7
    • 0000289538 scopus 로고
    • Some invariance properties of the renormalization group
    • 1974JPhC.7.2098W
    • F.J. Wegner, Some invariance properties of the renormalization group, J. Phys. C 7 (1974) 2098.
    • (1974) J. Phys. , vol.1007 , pp. 2098
    • Wegner, F.J.1
  • 8
    • 0001898814 scopus 로고
    • The renormalization group and the Ïμ-expansion
    • 1974PhR.12.75W 10.1016/0370-1573(74)90023-4 [INSPIRE]
    • K. Wilson and J.B. Kogut, The renormalization group and the Ïμ-expansion, Phys. Rept. 12 (1974) 75 [ INSPIRE ].
    • (1974) Phys. Rept. , vol.12 , pp. 75
    • Wilson, K.1    Kogut, J.B.2
  • 9
    • 0032257040 scopus 로고    scopus 로고
    • Elements of the continuous renormalization group
    • 1998PThPS.131.395M 10.1143/PTPS.131.395 [hep-th/9802039] [INSPIRE]
    • T.R. Morris, Elements of the continuous renormalization group, Prog. Theor. Phys. Suppl. 131 (1998) 395 [ hep-th/9802039 ] [ INSPIRE ].
    • (1998) Prog. Theor. Phys. Suppl. , vol.131 , pp. 395
    • Morris, T.R.1
  • 10
    • 0000969558 scopus 로고
    • Renormalization group equation for critical phenomena
    • 1973PhRvA.8.401W [INSPIRE]
    • F.J. Wegner and A. Houghton, Renormalization group equation for critical phenomena, Phys. Rev. A 8 (1973) 401 [ INSPIRE ].
    • (1973) Phys. Rev. D , vol.8 , pp. 401
    • Wegner, F.J.1    Houghton, A.2
  • 11
    • 0000781850 scopus 로고
    • An exact one particle irreducible renormalization group generator for critical phenomena
    • 601162 1977PhLA.62.287N [INSPIRE]
    • J. Nicoll and T. Chang, An exact one particle irreducible renormalization group generator for critical phenomena, Phys. Lett. A 62 (1977) 287 [ INSPIRE ].
    • (1977) Phys. Lett. , vol.62 , pp. 287
    • Nicoll, J.1    Chang, T.2
  • 12
    • 0002101282 scopus 로고
    • Exact evolution equation for the effective potential
    • 1993PhLB.301.90W [INSPIRE]
    • C. Wetterich, Exact evolution equation for the effective potential, Phys. Lett. B 301 (1993) 90 [ INSPIRE ].
    • (1993) Phys. Lett. , vol.301 , pp. 90
    • Wetterich, C.1
  • 13
    • 0001303808 scopus 로고
    • The exact renormalization group and approximate solutions
    • 1994IJMPA.9.2411M [hep-ph/9308265] [INSPIRE]
    • T.R. Morris, The exact renormalization group and approximate solutions, Int. J. Mod. Phys. A 9 (1994) 2411 [ hep-ph/9308265 ] [ INSPIRE ].
    • (1994) Int. J. Mod. Phys. , vol.9 , pp. 2411
    • Morris, T.R.1
  • 14
    • 10044283038 scopus 로고    scopus 로고
    • On the ultraviolet behaviour of Newton's constant
    • DOI 10.1088/0264-9381/21/22/002, PII S026493810480604X
    • R. Percacci and D. Perini, Should we expect a fixed point for Newton's constant?, Class. Quant. Grav. 21 (2004) 5035 [ hep-th/0401071 ] [ INSPIRE ]. (Pubitemid 39603929)
    • (2004) Classical and Quantum Gravity , vol.21 , Issue.22 , pp. 5035-5041
    • Percacci, R.1    Perini, D.2
  • 15
    • 46149123093 scopus 로고    scopus 로고
    • The renormalization group, systems of units and the hierarchy problem
    • 2321238 2007JPhA.40.4895P [hep-th/0409199] [INSPIRE]
    • R. Percacci, The renormalization group, systems of units and the hierarchy problem, J. Phys. A 40 (2007) 4895 [ hep-th/0409199 ] [ INSPIRE ].
    • (2007) J. Phys. , vol.40 , pp. 4895
    • Percacci, R.1
  • 16
    • 84856461502 scopus 로고    scopus 로고
    • Asymptotic safety goes on shell
    • 2012NJPh.14a5005B 10.1088/1367-2630/14/1/015005 [arXiv:1107.3110] [INSPIRE]
    • D. Benedetti, Asymptotic safety goes on shell, New J. Phys. 14 (2012) 015005 [ arXiv:1107.3110 ] [ INSPIRE ].
    • (2012) New J. Phys. , vol.14 , pp. 015005
    • Benedetti, D.1
  • 17
    • 0038375900 scopus 로고
    • Derivative expansion of the exact renormalization group
    • 1994PhLB.329.241M [hep-ph/9403340] [INSPIRE]
    • T.R. Morris, Derivative expansion of the exact renormalization group, Phys. Lett. B 329 (1994) 241 [ hep-ph/9403340 ] [ INSPIRE ].
    • (1994) Phys. Lett. , vol.329 , pp. 241
    • Morris, T.R.1
  • 18
    • 0009189528 scopus 로고
    • Renormalization and effective Lagrangians
    • 1984NuPhB.231.269P 10.1016/0550-3213(84)90287-6 [INSPIRE]
    • J. Polchinski, Renormalization and effective Lagrangians, Nucl. Phys. B 231 (1984) 269 [ INSPIRE ].
    • (1984) Nucl. Phys. , vol.231 , pp. 269
    • Polchinski, J.1
  • 19
    • 7044237500 scopus 로고    scopus 로고
    • Exact scheme independence
    • 1806599 2000JHEP.11.004L 10.1088/1126-6708/2000/11/004 [hep-th/0008123] [INSPIRE]
    • J.I. Latorre and T.R. Morris, Exact scheme independence, JHEP 11 (2000) 004 [ hep-th/0008123 ] [ INSPIRE ].
    • (2000) JHEP , vol.11 , pp. 004
    • Latorre, J.I.1    Morris, T.R.2
  • 20
    • 67650868954 scopus 로고    scopus 로고
    • Reparameterisation invariance and RG equations: Extension of the Local Potential Approximation
    • 2599324 2009JPhA.42s5401O [arXiv:0901.0450] [INSPIRE]
    • H. Osborn and D. Twigg, Reparameterisation invariance and RG equations: extension of the Local Potential Approximation, J. Phys. A 42 (2009) 195401 [ arXiv:0901.0450 ] [ INSPIRE ].
    • (2009) J. Phys. , vol.42 , pp. 195401
    • Osborn, H.1    Twigg, D.2
  • 21
    • 84855585952 scopus 로고    scopus 로고
    • Remarks on exact RG equations
    • 2877487 2012AnPhy.327.29O 1242.81113 10.1016/j.aop.2011.10.011 [arXiv:1108.5340] [INSPIRE]
    • H. Osborn and D. Twigg, Remarks on exact RG equations, Annals Phys. 327 (2012) 29 [ arXiv:1108.5340 ] [ INSPIRE ].
    • (2012) Annals Phys. , vol.327 , pp. 29
    • Osborn, H.1    Twigg, D.2
  • 23
    • 0001641055 scopus 로고
    • Equivalence theorem and Faddeev-Popov ghosts
    • 1976PhRvD.13.3247B [INSPIRE]
    • M. Bergere and Y.-M.P. Lam, Equivalence theorem and Faddeev-Popov ghosts, Phys. Rev. D 13 (1976) 3247 [ INSPIRE ].
    • (1976) Phys. Rev. D , vol.13 , pp. 3247
    • Bergere, M.1    Lam, Y.-M.2
  • 25
    • 84873308156 scopus 로고    scopus 로고
    • Asymptotic safety in the f (R) approximation
    • 2013JHEP.01.108D 10.1007/JHEP01(2013)108 [arXiv:1211.0955] [INSPIRE]
    • J.A. Dietz and T.R. Morris, Asymptotic safety in the f (R) approximation, JHEP 01 (2013) 108 [ arXiv:1211.0955 ] [ INSPIRE ].
    • (2013) JHEP , vol.1 , pp. 108
    • Dietz, J.A.1    Morris, T.R.2
  • 26
    • 0542367041 scopus 로고
    • The renormalization group and two-dimensional multicritical effective scalar field theory
    • 1995PhLB.345.139M [hep-th/9410141] [INSPIRE]
    • T.R. Morris, The renormalization group and two-dimensional multicritical effective scalar field theory, Phys. Lett. B 345 (1995) 139 [ hep-th/9410141 ] [ INSPIRE ].
    • (1995) Phys. Lett. , vol.345 , pp. 139
    • Morris, T.R.1
  • 27
    • 0002427709 scopus 로고
    • A differential generator for the free energy and the magnetization equation of state
    • 1976PhLA.57.7N
    • J.F. Nicoll, T.S. Chang and H.E. Stanley, A differential generator for the free energy and the. magnetization equation of state, Phys. Lett. A 57 (1976) 7.
    • (1976) Phys. Lett. , vol.57 , pp. 7
    • Nicoll, J.F.1    Chang, T.S.2    Stanley, H.E.3
  • 28
    • 0000500921 scopus 로고
    • Renormalization group study of scalar field theories
    • 1986NuPhB.270.687H 10.1016/0550-3213(86)90573-0 [INSPIRE]
    • A. Hasenfratz and P. Hasenfratz, Renormalization group study of scalar field theories, Nucl. Phys. B 270 (1986) 687 [ INSPIRE ].
    • (1986) Nucl. Phys. , vol.270 , pp. 687
    • Hasenfratz, A.1    Hasenfratz, P.2
  • 29
    • 0040726947 scopus 로고
    • On truncations of the exact renormalization group
    • 1994PhLB.334.355M [hep-th/9405190] [INSPIRE]
    • T.R. Morris, On truncations of the exact renormalization group, Phys. Lett. B 334 (1994) 355 [ hep-th/9405190 ] [ INSPIRE ].
    • (1994) Phys. Lett. , vol.334 , pp. 355
    • Morris, T.R.1
  • 30
    • 0037203309 scopus 로고    scopus 로고
    • Solutions of the Polchinski ERG equation in the O(n) scalar model
    • 2002IJMPA.17.4871K [hep-th/0202199] [INSPIRE]
    • Y. Kubyshin, R. Neves and R. Potting, Solutions of the Polchinski ERG equation in the O(n) scalar model, Int. J. Mod. Phys. A 17 (2002) 4871 [ hep-th/0202199 ] [ INSPIRE ].
    • (2002) Int. J. Mod. Phys. , vol.17 , pp. 4871
    • Kubyshin, Y.1    Neves, R.2    Potting, R.3
  • 31
    • 58349109824 scopus 로고    scopus 로고
    • Analytical approximation schemes for solving exact renormalization group equations. II. Conformal mappings
    • 2436479 2008NuPhB.801.296B 10.1016/j.nuclphysb.2008.02.021
    • C. Bervillier, B. Boisseau and H. Giacomini, Analytical approximation schemes for solving exact renormalization group equations. II. Conformal mappings, Nucl. Phys. B 801 (2008) 296 [ arXiv:0802.1970 ] [ INSPIRE ].
    • (2008) Nucl. Phys. , vol.801 , pp. 296
    • Bervillier, C.1    Boisseau, B.2    Giacomini, H.3
  • 32
    • 84868358064 scopus 로고    scopus 로고
    • Scaling solutions in continuous dimension
    • 2993421 2012JPhA.45T5006C [arXiv:1204.3877] [INSPIRE]
    • A. Codello, Scaling solutions in continuous dimension, J. Phys. A 45 (2012) 465006 [ arXiv:1204.3877 ] [ INSPIRE ].
    • (2012) J. Phys. , vol.45 , pp. 465006
    • Codello, A.1
  • 33
    • 0031591563 scopus 로고    scopus 로고
    • Three-dimensional massive scalar field theory and the derivative expansion of the renormalization group
    • 1997NuPhB.495.477M 10.1016/S0550-3213(97)00233-2 [hep-th/9612117] [INSPIRE]
    • T.R. Morris, Three-dimensional massive scalar field theory and the derivative expansion of the renormalization group, Nucl. Phys. B 495 (1997) 477 [ hep-th/9612117 ] [ INSPIRE ].
    • (1997) Nucl. Phys. , vol.495 , pp. 477
    • Morris, T.R.1
  • 34
    • 46149120103 scopus 로고    scopus 로고
    • On the renormalization group flow of f (R)-gravity
    • 2434803 2008PhRvD.77l4045M [arXiv:0712.0445] [INSPIRE]
    • P.F. Machado and F. Saueressig, On the renormalization group flow of f (R)-gravity, Phys. Rev. D 77 (2008) 124045 [ arXiv:0712.0445 ] [ INSPIRE ].
    • (2008) Phys. Rev. D , vol.77 , pp. 124045
    • Machado, P.F.1    Saueressig, F.2
  • 35
    • 59849101554 scopus 로고    scopus 로고
    • Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
    • 2498944 2009AnPhy.324.414C 1161.83343 10.1016/j.aop.2008.08.008 [arXiv:0805.2909] [INSPIRE]
    • A. Codello, R. Percacci and C. Rahmede, Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation, Annals Phys. 324 (2009) 414 [ arXiv:0805.2909 ] [ INSPIRE ].
    • (2009) Annals Phys. , vol.324 , pp. 414
    • Codello, A.1    Percacci, R.2    Rahmede, C.3
  • 36
    • 84864340741 scopus 로고    scopus 로고
    • The local potential approximation in quantum gravity
    • 3006891 2012JHEP.06.017B 10.1007/JHEP06(2012)017 [Erratum ibid. 10 (2012) 157] [arXiv:1204.3541] [INSPIRE]
    • D. Benedetti and F. Caravelli, The local potential approximation in quantum gravity, JHEP 06 (2012) 017 [Erratum ibid. 10 (2012) 157] [ arXiv:1204.3541 ] [ INSPIRE ].
    • (2012) JHEP , vol.6 , pp. 017
    • Benedetti, D.1    Caravelli, F.2
  • 37
    • 84877941348 scopus 로고    scopus 로고
    • On the number of relevant operators in asymptotically safe gravity
    • 2013EL.10220007B 10.1209/0295-5075/102/20007 [arXiv:1301.4422] [INSPIRE]
    • D. Benedetti, On the number of relevant operators in asymptotically safe gravity, Europhys. Lett. 102 (2013) 20007 [ arXiv:1301.4422 ] [ INSPIRE ].
    • (2013) Europhys. Lett. , vol.102 , pp. 20007
    • Benedetti, D.1
  • 38
    • 84870351885 scopus 로고    scopus 로고
    • Fixed-functionals of three-dimensional quantum Einstein gravity
    • 3036459 2012JHEP.11.131D 10.1007/JHEP11(2012)131 [arXiv:1208.2038] [INSPIRE]
    • M. Demmel, F. Saueressig and O. Zanusso, Fixed-functionals of three-dimensional quantum Einstein gravity, JHEP 11 (2012) 131 [ arXiv:1208.2038 ] [ INSPIRE ].
    • (2012) JHEP , vol.11 , pp. 131
    • Demmel, M.1    Saueressig, F.2    Zanusso, O.3
  • 42
    • 25344474890 scopus 로고
    • The ultraviolet behavior of Einstein gravity
    • 1986NuPhB.266.709G 10.1016/0550-3213(86)90193-8 [INSPIRE]
    • M.H. Goroff and A. Sagnotti, The ultraviolet behavior of Einstein gravity, Nucl. Phys. B 266 (1986) 709 [ INSPIRE ].
    • (1986) Nucl. Phys. , vol.266 , pp. 709
    • Goroff, M.H.1    Sagnotti, A.2
  • 43
    • 70349917919 scopus 로고    scopus 로고
    • Asymptotic safety in higher-derivative gravity
    • 2009MPLA.24.2233B [arXiv:0901.2984] [INSPIRE]
    • D. Benedetti, P.F. Machado and F. Saueressig, Asymptotic safety in higher-derivative gravity, Mod. Phys. Lett. A 24 (2009) 2233 [ arXiv:0901.2984 ] [ INSPIRE ].
    • (2009) Mod. Phys. Lett. , vol.24 , pp. 2233
    • Benedetti, D.1    Machado, P.F.2    Saueressig, F.3
  • 44
    • 70349426985 scopus 로고    scopus 로고
    • Taming perturbative divergences in asymptotically safe gravity
    • 2556155 2010NuPhB.824.168B 10.1016/j.nuclphysb.2009.08.023 [arXiv:0902.4630] [INSPIRE]
    • D. Benedetti, P.F. Machado and F. Saueressig, Taming perturbative divergences in asymptotically safe gravity, Nucl. Phys. B 824 (2010) 168 [ arXiv:0902.4630 ] [ INSPIRE ].
    • (2010) Nucl. Phys. , vol.824 , pp. 168
    • Benedetti, D.1    Machado, P.F.2    Saueressig, F.3
  • 48
    • 84856424449 scopus 로고    scopus 로고
    • Fundamentals of the exact renormalization group
    • 2881441 2012PhR.511.177R 10.1016/j.physrep.2011.12.003 [arXiv:1003.1366] [INSPIRE]
    • O.J. Rosten, Fundamentals of the exact renormalization group, Phys. Rept. 511 (2012) 177 [ arXiv:1003.1366 ] [ INSPIRE ].
    • (2012) Phys. Rept. , vol.511 , pp. 177
    • Rosten, O.J.1
  • 49
    • 79955063614 scopus 로고    scopus 로고
    • Equivalent fixed-points in the effective average action formalism
    • 2788748 2011JPhA.44s5401R [arXiv:1010.1530] [INSPIRE]
    • O.J. Rosten, Equivalent fixed-points in the effective average action formalism, J. Phys. A 44 (2011) 195401 [ arXiv:1010.1530 ] [ INSPIRE ].
    • (2011) J. Phys. , vol.44 , pp. 195401
    • Rosten, O.J.1
  • 50
    • 84881339837 scopus 로고    scopus 로고
    • Private communication
    • Private communication from K. Falls.
    • Falls, K.1


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