Kinetic Normal Ordering and the Induced Nonabelian Current in (1+1)-dimensions
Jul, 198812 pages
Published in:
- Nucl.Phys.B 314 (1989) 545-556
- Published: 1989
Report number:
- ETH-PT/88-7
Citations per year
Abstract: (Elsevier)
We show that the non-abelian current of massless fermions in 1 + 1 dimensions induced by an external gauge field can be unambigously calculated. We use the hamiltonian formalism which is free of divergences and the normal ordering with respect to the vacuum in which all one-particle modes with negative kinetic energy are filled. The non-abelian current of Weyl fermions is gauge covariant and obeys the covariant anomaly equation. This current cannot be define via functional derivatives. For Dirac fermions, kinetic normal ordering of the hamiltonian yields the correct vacuum functional.- FIELD THEORY: TWO-DIMENSIONAL
- GAUGE FIELD THEORY: EXTERNAL FIELD
- FERMION: MASSLESS
- MASSLESS: FERMION
- CURRENT: NONABELIAN
- ANOMALY
- FIELD THEORY: HAMILTONIAN FORMALISM
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