WEYL FERMION FUNCTIONAL INTEGRAL AND TWO-DIMENSIONAL GAUGE THEORIES
Nov 6, 198920 pages
Published in:
- Int.J.Mod.Phys.A 5 (1990) 2839-2852
Report number:
- DFTUZ-89-9
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Abstract: (WSP)
In the path integral approach we introduce a general regularization scheme for a Weyl fermionic measure. This allows us to study the functional integral formulation of a two-dimensional U(1) gauge theory with an arbitrary content of left-handed and right-handed fermions. A particular result is that, in contrast with a regularization of the fermionic measure based on a unique Dirac operator, by taking the Dirac fermionic measure as a product of two independent Weyl fermionic measures a consistent and unitary result can be obtained for the Chiral Schwinger Model (CSM) as a byproduct of the arbitrariness in the definition of the fermionic measure.- gauge field theory: U(1)
- fermion: chiral
- dimension: 2
- path integral: measure
- anomaly
- regularization
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