On the Exact Gauge Invariant Calculation of the Fermion Determinant in Massless Two-dimensional {QCD}

Rothe, Klaus D.

doi:10.1016/0550-3213(86)90223-3

On the Exact Gauge Invariant Calculation of the Fermion Determinant in Massless Two-dimensional {QCD}

Klaus D. Rothe
(
- Heidelberg U.
)

Nov, 1985

16 pages

Published in:

Nucl.Phys.B 269 (1986) 269-284

Published: 1986

DOI:

10.1016/0550-3213(86)90223-3

Report number:

HD-THEP-85-21

View in:

AMS MathSciNet

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Abstract: (Elsevier)

Using heat-kernel methods, we show that factorization of the Dirac operator in two-dimensional QCD allows one to calculate exactly the corresponding functional determinant in an arbitrary gauge for any unitary Lie group. The possibility of achieving this is presented in the form of a theorem on functional determinants which covers a wide class of factorizable operators. In particular we recover in the light-cone gauge a result recently obtained by Polyakov and Wiegmann.

QUANTUM CHROMODYNAMICS: TWO-DIMENSIONAL
Dirac equation
FACTORIZATION
FIELD THEORY: PATH INTEGRAL
RENORMALIZATION: REGULARIZATION
GAUGE FIELD THEORY: SU(2)
FIELD THEORY: MASSLESS
MASSLESS: FIELD THEORY
INVARIANCE: GAUGE

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