COVARIANT QUANTIZATION OF CHIRAL BOSONS AND OSP(1,1/2) SYMMETRY

被引:108
作者
MCCLAIN, B [1 ]
WU, YS [1 ]
YU, F [1 ]
机构
[1] INST ADV STUDY,SCH NAT SCI,PRINCETON,NJ 08540
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(90)90585-2
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The covariant quantization of a chiral boson is carried out on an extended phase space. To convert the second-class constraint ∂+φ(σ, τ) = 0 into first-class ones, à la Faddeev and Shatashvili, infinitely many auxiliary scalars are introduced. We have explored the OSp(1, 1|2) symmetry, which is a group theoretical extension of the BRST symmetry, to prove the no-ghost theorem and the chirality of the physical subspace. The infinite product of determinants from the ghosts and auxiliary scalars in path integral are regularized in an OSp invariant way, leading to the desired partition function. The formulation holds good in the presence of static background gauge fields. © 1990.
引用
收藏
页码:689 / 704
页数:16
相关论文
共 28 条
[21]  
MCCLAIN B, 1988, U UTAH PREPRINT
[22]   CRITICAL DIMENSIONS FOR CHIRAL BOSONS [J].
MEZINCESCU, L ;
NEPOMECHIE, RI .
PHYSICAL REVIEW D, 1988, 37 (10) :3067-3069
[23]   CHIRAL BOSONIZATION AND LOCAL LORENTZ-INVARIANT ACTIONS FOR CHIRAL BOSONS [J].
SANIELEVICI, MN ;
SEMENOFF, GW ;
WU, YS .
PHYSICAL REVIEW LETTERS, 1988, 60 (25) :2571-2574
[24]   PATH INTEGRAL ANALYSIS OF CHIRAL BOSONIZATION [J].
SANIELEVICI, MN ;
SEMENOFF, GW ;
WU, YS .
NUCLEAR PHYSICS B, 1989, 312 (01) :197-226
[25]  
Schwarz J. H., 1987, International Journal of Modern Physics A, V2, P593, DOI 10.1142/S0217751X87000223
[26]   MANIFEST LORENTZ INVARIANCE SOMETIMES REQUIRES NON-LINEARITY [J].
SIEGEL, W .
NUCLEAR PHYSICS B, 1984, 238 (02) :307-316
[27]  
WU YS, IASSNSHEP9032 PRINC
[28]   CRITICAL DIMENSION FOR THE SIEGEL ACTION WITH SUPERSYMMETRIC CHIRAL BOSONS ON GROUP-MANIFOLDS [J].
YU, F ;
WU, YS .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (03) :701-717