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Volumn 95, Issue 17, 2005, Pages

Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids

Author keywords

[No Author keywords available]

Indexed keywords

COMPACT QUANTUM ELECTRODYNAMICS; DIRAC FERMIONS; NONCOMPACT THEORY; RENORMALIZATION GROUP ANALYSIS;

EID: 28844465491     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.176406     Document Type: Article
Times cited : (30)

References (51)
  • 1
    • 1842466007 scopus 로고    scopus 로고
    • edited by U. Schollwock, J. Richter, D.J.J. Farnell, and R.A. Bishop, Lecture Notes in Physics (Springer-Verlag, Berlin
    • S. Sachdev, in Quantum Magnetism, edited by, U. Schollwock, J. Richter, D.J.J. Farnell, and, R.A. Bishop, Lecture Notes in Physics (Springer-Verlag, Berlin, 2004).
    • (2004) Quantum Magnetism
    • Sachdev, S.1
  • 6
    • 0000426873 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.29.2423
    • R.D. Pisarski, Phys. Rev. D 29, 2423 (1984); PRVDAQ 0556-2821 10.1103/PhysRevD.29.2423
    • (1984) Phys. Rev. D , vol.29 , pp. 2423
    • Pisarski, R.D.1
  • 9
    • 0001185515 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.37.3774
    • I. Affleck and J.B. Marston, Phys. Rev. B PRBMDO 0163-1829 37, R3774 (1988); 10.1103/PhysRevB.37.3774
    • (1988) Phys. Rev. B , vol.37 , pp. 3774
    • Affleck, I.1    Marston, J.B.2
  • 10
    • 35949011942 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.39.11538
    • J.B. Marston and I. Affleck, Phys. Rev. B PRBMDO 0163-1829 39, 11538 (1989). 10.1103/PhysRevB.39.11538
    • (1989) Phys. Rev. B , vol.39 , pp. 11538
    • Marston, J.B.1    Affleck, I.2
  • 11
    • 0001600587 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.64.1166
    • J.B. Marston, Phys. Rev. Lett. 64, 1166 (1990). PRLTAO 0031-9007 10.1103/PhysRevLett.64.1166
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 1166
    • Marston, J.B.1
  • 12
    • 0000862570 scopus 로고    scopus 로고
    • APNYA6 0003-4916 10.1006/aphy.1998.5888
    • D.H. Kim and P.A. Lee, Ann. Phys. (N.Y.) 272, 130 (1999). APNYA6 0003-4916 10.1006/aphy.1998.5888
    • (1999) Ann. Phys. (N.Y.) , vol.272 , pp. 130
    • Kim, D.H.1    Lee, P.A.2
  • 13
    • 0035905550 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.257003
    • M. Franz and Z. Tesanovic, Phys. Rev. Lett. 87, 257003 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.257003
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 257003
    • Franz, M.1    Tesanovic, Z.2
  • 14
    • 0037185397 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.88.047006
    • I.F. Herbut, Phys. Rev. Lett. 88, 047006 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.047006
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 047006
    • Herbut, I.F.1
  • 15
    • 0002402804 scopus 로고
    • APNYA6 0003-4916 10.1016/0003-4916(82)90164-6
    • S. Deser, R. Jackiw, and S. Templeton, Ann. Phys. (N.Y.) 140, 372 (1982). APNYA6 0003-4916 10.1016/0003-4916(82)90164-6
    • (1982) Ann. Phys. (N.Y.) , vol.140 , pp. 372
    • Deser, S.1    Jackiw, R.2    Templeton, S.3
  • 16
    • 0000268290 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.51.2077
    • A.J. Niemi and G.W. Semenoff, Phys. Rev. Lett. 51, 2077 (1983); PRLTAO 0031-9007 10.1103/PhysRevLett.51.2077
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 2077
    • Niemi, A.J.1    Semenoff, G.W.2
  • 17
    • 0001822682 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.52.18
    • A.N. Redlich, Phys. Rev. Lett. 52, 18 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.52.18
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 18
    • Redlich, A.N.1
  • 18
    • 26144434509 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(77)90086-4
    • A.M. Polyakov, Nucl. Phys. NUPBBO 0550-3213 B120, 429 (1977). 10.1016/0550-3213(77)90086-4
    • (1977) Nucl. Phys. , vol.120 , pp. 429
    • Polyakov, A.M.1
  • 19
    • 49149132100 scopus 로고
    • NUPBBO. 0550-3213. 10.1016/0550-3213(81)90423-5
    • M. Lüscher, Nucl. Phys. NUPBBO 0550-3213 B180, 317 (1981). 10.1016/0550-3213(81)90423-5
    • (1981) Nucl. Phys. , vol.180 , pp. 317
    • Lüscher, M.1
  • 20
    • 84856132243 scopus 로고    scopus 로고
    • The interquark potential bears many similarities with the nonlinear σ model with n components and string models with stiffness.
    • The interquark potential bears many similarities with the nonlinear σ model with n components and string models with stiffness.
  • 21
    • 0002362454 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(81)90608-0
    • See, for example, J.D. Stack and M. Stone, Phys. Lett. B 100, 476 (1981); PYLBAJ 0370-2693 10.1016/0370-2693(81)90608-0
    • (1981) Phys. Lett. B , vol.100 , pp. 476
    • Stack, J.D.1    Stone, M.2
  • 22
    • 33748955305 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.58.1915
    • H. Kleinert, Phys. Rev. Lett. 58, 1915 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.58.1915
    • (1987) Phys. Rev. Lett. , vol.58 , pp. 1915
    • Kleinert, H.1
  • 23
    • 84988744628 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(80)90848-5
    • M.E. Peskin, Phys. Lett. B 94, 161 (1980). PYLBAJ 0370-2693 10.1016/0370-2693(80)90848-5
    • (1980) Phys. Lett. B , vol.94 , pp. 161
    • Peskin, M.E.1
  • 24
    • 4243882120 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.88.232001
    • H. Kleinert, F.S. Nogueira, and A. Sudbø, Phys. Rev. Lett. 88, 232001 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.232001
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 232001
    • Kleinert, H.1    Nogueira, F.S.2    Sudbø, A.3
  • 25
    • 84856126141 scopus 로고    scopus 로고
    • In the case of noncompact QED3 the Coulomb potential is given by V(R)=(e02/2π)ln(e02R). In the massive case, the vacuum polarization Π(p) gives a correction such that V(R)=(e02/2π)[1+Π(0)]-1ln(e02R)+const+O(1/R). Thus, the massive theory is logarithmically confining. The massless theory, on the other hand, does not exhibit any confinement since limp→0Π(p)→
    • In the case of noncompact QED3 the Coulomb potential is given by V(R)=(e02/2π)ln(e02R). In the massive case, the vacuum polarization Π(p) gives a correction such that V(R)=(e02/2π)[1+Π(0)]-1ln(e02R)+const+O(1/R). Thus, the massive theory is logarithmically confining. The massless theory, on the other hand, does not exhibit any confinement since limp→0Π(p)→
  • 27
    • 23544471460 scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.52.6087
    • P. Maris, Phys. Rev. D 52, 6087 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.6087
    • (1995) Phys. Rev. D , vol.52 , pp. 6087
    • Maris, P.1
  • 28
    • 17144383989 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/10/19/011Since we are working with length scales, the so-called "negative β function" arises if one defines the β function of the gauge coupling as βf=-df/dl, similarly to Eq. (2.44) in
    • J.M. Kosterlitz, J. Phys. C 10, 3753 (1977). JPSOAW 0022-3719 10.1088/0022-3719/10/19/011
    • (1977) J. Phys. C , vol.10 , pp. 3753
    • Kosterlitz, J.M.1
  • 29
    • 33744526540 scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.55.775
    • J.B. Kogut, Rev. Mod. Phys. 55, 775 (1983). RMPHAT 0034-6861 10.1103/RevModPhys.55.775
    • (1983) Rev. Mod. Phys. , vol.55 , pp. 775
    • Kogut, J.B.1
  • 30
    • 33646624978 scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.19.1855
    • A.P. Young, Phys. Rev. B PRBMDO 0163-1829 19, 1855 (1979). 10.1103/PhysRevB.19.1855
    • (1979) Phys. Rev. B , vol.19 , pp. 1855
    • Young, A.P.1
  • 31
    • 84856131852 scopus 로고    scopus 로고
    • A detailed derivation of the RG equations can be downloaded from http://www.physik.fu-berlin.de/~nogueira/cqed3.html.
  • 33
    • 0347310169 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.91.171601
    • I.F. Herbut and B.H. Seradjeh, Phys. Rev. Lett. 91, 171601 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.171601
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 171601
    • Herbut, I.F.1    Seradjeh, B.H.2
  • 34
    • 84856131853 scopus 로고    scopus 로고
    • It is worth mentioning here that ηA=1 is actually an exact result for three-dimensional noncompact U(1) gauge theories coupled to matter fields.
    • It is worth mentioning here that ηA=1 is actually an exact result for three-dimensional noncompact U(1) gauge theories coupled to matter fields.
  • 35
    • 33646665955 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.32.292
    • See, for example, B.I. Halperin, T.C. Lubensky, and S.-K. Ma, Phys. Rev. Lett. 32, 292 (1974); PRLTAO 0031-9007 10.1103/PhysRevLett.32.292
    • (1974) Phys. Rev. Lett. , vol.32 , pp. 292
    • Halperin, B.I.1    Lubensky, T.C.2    Ma, S.-K.3
  • 37
    • 0030169381 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.76.4588
    • I.F. Herbut and Z. Tesanovic, Phys. Rev. Lett. 76, 4588 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.76.4588
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 4588
    • Herbut, I.F.1    Tesanovic, Z.2
  • 38
    • 0000487825 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.60.4255
    • C. de Calan and F.S. Nogueira, Phys. Rev. B PRBMDO 0163-1829 60, 4255 (1999); 10.1103/PhysRevB.60.4255
    • (1999) Phys. Rev. B , vol.60 , pp. 4255
    • De Calan, C.1    Nogueira, F.S.2
  • 39
    • 0001690383 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.84.3426
    • J. Hove and A. Sudbø, Phys. Rev. Lett. 84, 3426 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.84.3426
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 3426
    • Hove, J.1    Sudbø, A.2
  • 40
    • 0037282254 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.67.014525
    • T. Neuhaus, A. Rajantie, and K. Rummukainen, Phys. Rev. B PRBMDO 0163-1829 67, 014525 (2003). 10.1103/PhysRevB.67.014525
    • (2003) Phys. Rev. B , vol.67 , pp. 014525
    • Neuhaus, T.1    Rajantie, A.2    Rummukainen, K.3
  • 41
    • 33646668033 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/6/7/010
    • J.M. Kosterlitz and D.J. Thouless, J. Phys. C 6, 1181 (1973); JPSOAW 0022-3719 10.1088/0022-3719/6/7/010
    • (1973) J. Phys. C , vol.6 , pp. 1181
    • Kosterlitz, J.M.1    Thouless, D.J.2
  • 42
    • 36149076140 scopus 로고
    • JPSOAW 0022-3719 10.1088/0022-3719/7/6/005For recent Monte Carlo simulations studying the possibility of a KT-like phase transition in a three-dimensional logarithmic Coulomb gas, see
    • J.M. Kosterlitz, J. Phys. C 7, 1046 (1974). JPSOAW 0022-3719 10.1088/0022-3719/7/6/005
    • (1974) J. Phys. C , vol.7 , pp. 1046
    • Kosterlitz, J.M.1
  • 43
    • 2942696439 scopus 로고    scopus 로고
    • PRLTAO. 0031-9007. 10.1103/PhysRevLett.92.186403
    • S. Kragset, A. Sudbø, and F.S. Nogueira, Phys. Rev. Lett. 92, 186403 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.92.186403
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 186403
    • Kragset, S.1    Sudbø, A.2    Nogueira, F.S.3
  • 44
    • 84856126897 scopus 로고    scopus 로고
    • PRBMDO. 0163-1829. 10.1103/PhysRevB.71.085112
    • K. Borkje, S. Kragset, and A. Sudbø, Phys. Rev. B PRBMDO 0163-1829 71, 085112 (2005). 10.1103/PhysRevB.71.085112
    • (2005) Phys. Rev. B , vol.71 , pp. 085112
    • Borkje, K.1    Kragset, S.2    Sudbø, A.3
  • 45
    • 33646612532 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.39.1201
    • D.R. Nelson and J.M. Kosterlitz, Phys. Rev. Lett. 39, 1201 (1977). PRLTAO 0031-9007 10.1103/PhysRevLett.39.1201
    • (1977) Phys. Rev. Lett. , vol.39 , pp. 1201
    • Nelson, D.R.1    Kosterlitz, J.M.2
  • 46
    • 0000201987 scopus 로고
    • PYLBAJ 0370-2693 10.1016/0370-2693(79)91137-7
    • A. Casher, Phys. Lett. B 83, 395 (1979); PYLBAJ 0370-2693 10.1016/0370-2693(79)91137-7
    • (1979) Phys. Lett. B , vol.83 , pp. 395
    • Casher, A.1
  • 47
    • 0001645315 scopus 로고
    • NUPBBO 0550-3213 10.1016/0550-3213(80)90255-2
    • T. Banks and A. Casher, Nucl. Phys. NUPBBO 0550-3213 B169, 103 (1980). 10.1016/0550-3213(80)90255-2
    • (1980) Nucl. Phys. , vol.169 , pp. 103
    • Banks, T.1    Casher, A.2
  • 48
    • 0001471931 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.62.1083
    • E. Dagotto, J.B. Kogut, and A. Kocić, Phys. Rev. Lett. 62, 1083 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.1083
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1083
    • Dagotto, E.1    Kogut, J.B.2    Kocić, A.3
  • 49
    • 0037010635 scopus 로고    scopus 로고
    • NUPBBO 0550-3213 10.1016/S0550-3213(02)00869-6
    • S.J. Hands, J.B. Kogut, and C.G. Strouthos, Nucl. Phys. NUPBBO 0550-3213 B645, 321 (2002). 10.1016/S0550-3213(02)00869-6
    • (2002) Nucl. Phys. , vol.645 , pp. 321
    • Hands, S.J.1    Kogut, J.B.2    Strouthos, C.G.3
  • 50
  • 51
    • 85053119075 scopus 로고    scopus 로고
    • PRVDAQ 0556-2821 10.1103/PhysRevD.60.045003
    • T. Appelquist, A.G. Cohen, and M. Schmaltz, Phys. Rev. D 60, 045003 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.045003
    • (1999) Phys. Rev. D , vol.60 , pp. 045003
    • Appelquist, T.1    Cohen, A.G.2    Schmaltz, M.3


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