THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD

NI Guang-Jiong; WANG Rong-Tai; CHEN Su-Qing

Chinese Physics C> 1989, Vol. 13> Issue(2) : 135-141

THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD

Fudan University,Shanghai

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Abstract：
Using the path integral method for handling the anomaly problem under the comoving representation,we present a unified scheme for deriving the bononization of fermion fields in (1+1) dimensions.The massless Thirring model with an external electric field,and the Gross-Neveu model with internal SU(N) symmetry,as two examples for abelian and nonabelian bosonization,are discussed repectively in some detail.

References

[1]

S. Coleman, Phys. Rev.D11(1987). 2088.[2] J . Kogut and L. Susskind. Phys. Rev,D10(1984), 3468.[3] S. Mandelstam, Phys. Rev, D11(1975) , 3026.[4] Wang Rong-tai and Ni Guang-jiong, Commun. Theor. Phys.(Beijing, China) l(1987). 321.[5] E. Witten, Comm. Math. Phys.. 92(1981). 455.[6] A. Polpakov and P. B. Wiegmann, Phys. Lett., 131B(1983). 121; 141B(1984), 223.[7] P. Di Yecchis and P. Rossi, ibid, 140B(1984), 344.[8] P. Di Vecchis.. Durhuus and J. L. Prterscn, ibid, 144B(1984). 245.[9] D. Gonzales and A. N. Redlich. ibid, 147B(1984). 150.[10] K. Furuya, R. E. Gamboe Saravi and F. A. Schaposnik. Nucl. Phys. E208(1982). 159.[11] R. E. Gamboe Saravi et al, Ann. Phys., (N. Y.) 157(1984), 360; Phys. Lett.153B(1985). 97.[12] D. Gepner, Nucl. Phys., B252(1985), 481.[13] L. Aifleck, Nucl. Phys., B265(1986), 409. 448.[14] H. Dorn, Phys. Lett., 167B(1986), 86.[15] Wang Rong-tai and Ni Guang-jiong. Jour. Phys., A23(1987). 5849.[16] M. A. Ribin, Preprint. Ferinilab. Pub-85,76-T, EF182/30 (Revised). May, 1985.[17] B. M.MCoy and T. T. Wu, Phys. Let., 87B(1979): 50.[18] 汪荣泰，倪光炯，复旦学报,23(1984), 417.[19] G. Itzykson and J-B Zuber, Quanium Field Theory, (MaGraw-Hill, 1980), p. 160.

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NI Guang-Jiong, WANG Rong-Tai and CHEN Su-Qing. THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD[J]. Chinese Physics C, 1989, 13(2): 135-141.

NI Guang-Jiong, WANG Rong-Tai and CHEN Su-Qing. THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD[J]. Chinese Physics C, 1989, 13(2): 135-141. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

THE NONABELIAN BOSONIZATION OF FERMION FIELDS IN (1+1) DIMENSIONS BY PATH INTEGRAL METHOD

Corresponding author: NI Guang-Jiong,

Fudan University,Shanghai

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-02-05

Abstract: Using the path integral method for handling the anomaly problem under the comoving representation,we present a unified scheme for deriving the bononization of fermion fields in (1+1) dimensions.The massless Thirring model with an external electric field,and the Gross-Neveu model with internal SU(N) symmetry,as two examples for abelian and nonabelian bosonization,are discussed repectively in some detail.