FERMIONIC GREEN-FUNCTION AND FUNCTIONAL DETERMINANT IN QCD2

被引：23

作者：

NIELSEN, NK ^{[1
]}

ROTHE, KD ^{[1
]}

SCHROER, B ^{[1
]}

机构：

[1] FREE UNIV BERLIN, DEPT THEORET PHYS, D-1000 BERLIN 33, GERMANY

来源：

NUCLEAR PHYSICS B | 1979年 / 160卷 / 02期

关键词：

D O I：

10.1016/0550-3213(79)90063-4

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：

We obtain a closed representation for the QCD2 fermion determinant, euclidean Green functions and induced current in generic external fields. In the absence of zero modes the results are representable as sums over tree diagrams which as we show, can also be obtained from the original Feynman perturbation series via resummation and integration over loop variables. We also investigate the modifications due to the presence of zero modes. © 1979.

引用

页码：330 / 348

页数：19

共 16 条

[1] MASSIVE THIRRING MODEL - PARTICLE SCATTERING IN PERTURBATION-THEORY [J].

BERG, B .

NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1977, 41 (01) :58-72

[2]

DeWitt B S., 1965, DYNAMICAL THEORY GRO

[3]

FRIED HM, 1972, FUNCTIONAL METHODS M

[4] NON-ABELIAN GAUGE THEORY IN 2 DIMENSIONS [J].

FRISHMAN, Y .

NUCLEAR PHYSICS B, 1979, 148 (1-2) :74-92

[5]

Gilkey P B., 1975, J DIFFER GEOM, V10, P601, DOI [DOI 10.4310/JDG/1214433164, 10.4310/jdg/1214433164]

[6] ZETA FUNCTION REGULARIZATION OF PATH INTEGRALS IN CURVED SPACETIME [J].

HAWKING, SW .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 55 (02) :133-148

[7]

HORTACSU M, 1979, GENERALIZED QED2 FUN

[8] QUARK CONFINEMENT AND INSTANTON-LIKE EUCLIDEAN FIELD CONFIGURATIONS [J].

NIELSEN, NK ;

SCHROER, B .

PHYSICS LETTERS B, 1977, 66 (05) :475-479

[9] TOPOLOGICAL FLUCTUATIONS AND BREAKING OF CHIRAL SYMMETRY IN GAUGE THEORIES INVOLVING MASSLESS FERMIONS [J].

NIELSEN, NK ;

SCHROER, B .

NUCLEAR PHYSICS B, 1977, 120 (01) :62-76

[10]

NIELSEN NK, UNPUBLISHED

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