Mandelstam-'t Hooft duality in abelian lattice models

Annals of Physics - Tập 113 Số 1 - Trang 122-152 - 1978
Michael E. Peskin1,2
1Laboratory of Nuclear Studies, Cornell University, Ithaca, New York, 14853,USA
2Lyman Laboratory of Physics, Harvard University, Cambridge, Massachusetts 02138, USA

Tóm tắt

Từ khóa


Tài liệu tham khảo

Wilson, 1974, Phys. Rev. D, 10, 2445, 10.1103/PhysRevD.10.2445

Polyakov, 1975, Phys. Lett. B, 59, 79, 10.1016/0370-2693(75)90161-6

Migdal, 1975, JETP, 42, 413

Migdal, 1975, JETP, 42, 743

Kadanoff, 1977, Rev. Mod. Phys., 49, 267, 10.1103/RevModPhys.49.267

Nielson, 1973, Nucl. Phys. B, 61, 45, 10.1016/0550-3213(73)90350-7

Tassie, 1973, Phys. Lett. B, 46, 397, 10.1016/0370-2693(73)90150-0

Nambu, 1974, Phys. Rev. D, 10, 4262, 10.1103/PhysRevD.10.4262

Parisi, 1975, Phys. Rev. D, 11, 970, 10.1103/PhysRevD.11.970

Abrikosov, 1957, JETP, 5, 1174

Kogut, 1974, Phys. Rev. D, 9, 3501, 10.1103/PhysRevD.9.3501

Mandelstam, 1976, 23

't Hooft, 1976

Fisher, 1967, Rep. Progr. Phys., 30, 615, 10.1088/0034-4885/30/2/306

Balian, 1974, Phys. Rev. D, 10, 3376, 10.1103/PhysRevD.10.3376

Elitzer, 1975, Phys. Rev. D, 12, 3978, 10.1103/PhysRevD.12.3978

Berezinskii, 1971, JETP, 32, 493

Berezinskii, 1972, JETP, 34, 610

Kosterlitz, 1973, J. Phys. C, 6, 1181, 10.1088/0022-3719/6/7/010

Polyakov, 1975, Nucl. Phys. B, 121, 429

Villain, 1975, J. Phys. (Paris), 36, 581, 10.1051/jphys:01975003606058100

Baaquie, 1977, Phys. Rev. D, 16, 3040, 10.1103/PhysRevD.16.3040

A. M. Polyakov, personal communication.

Savit, 1977, Phys. Rev. Lett., 39, 55, 10.1103/PhysRevLett.39.55

Savit, 1978, Phys. Rev., B17, 1340, 10.1103/PhysRevB.17.1340

Kramers, 1941, Phys. Rev., 60, 252, 10.1103/PhysRev.60.252

Syozi, 1972, Vol. 1

Wegner, 1971, J. Math. Phys., 12, 2259, 10.1063/1.1665530

Balian, 1975, Phys. Rev. D, 11, 2098, 10.1103/PhysRevD.11.2098

Jose, 1977, Phys. Rev. B, 16, 1217, 10.1103/PhysRevB.16.1217

Banks, 1977, Nucl. Phys. B, 129, 493, 10.1016/0550-3213(77)90129-8

Brout, 1965

Stanley, 1969, J. Appl. Phys., 40, 1272, 10.1063/1.1657622

Coleman, 1973, Phys. Rev. D, 7, 1888, 10.1103/PhysRevD.7.1888

Halperin, 1974, Phys. Rev. Lett., 32, 292, 10.1103/PhysRevLett.32.292

Fisher, 1973, Phys. Rev. A, 8, 1111, 10.1103/PhysRevA.8.1111

Josephson, 1966, Phys. Lett. A, 21, 608, 10.1016/0031-9163(66)90088-6

Dirac, 1931, 133, 60

Dirac, 1948, Phys. Rev., 74, 817, 10.1103/PhysRev.74.817

The interpretation of flux tubes as mesons is a part of the schema of 't Hooft: see Ref. [10]

't Hooft, 1978, Extended Objects in Gauge Field Theories

See Ref. [31], especially the discussion of its Eq. (4.9).

A. M. Polyakov, personal communication.

't Hooft, 1974, Nucl. Phys. B, 79, 276, 10.1016/0550-3213(74)90486-6

Polyakov, 1974, JETP Lett., 20, 194

Kogut, 1976, Nucl. Phys. B, 114, 199, 10.1016/0550-3213(76)90586-1

Wilson, 1974, Phys. Rep. C, 12, 75, 10.1016/0370-1573(74)90023-4