The Hamiltonian and BRST formulations of the Abelian Higgs model in one-space one-time dimensions are investigated. PACS Nos.: 03.65+, 03.70tk, 11.10lm, 11.10Ef, 11.30Rd
The Hamiltonian and BRST formulations of an AbelianHiggs model in one-space one-time dimensions are investigated in the light-front frame under some specific gauge choices. PACS Nos.: 03.65+, 03.70+k, 11.10lm, 11.10Ef, and 11.30Rd
We consider γ5 version of Abelian Higgs model in 1 + 1 dimensions and find one loop expression for the rate of fermion number non-conservation at high temperatures. We discuss the construction of the noncontractible loop in the configuration space and an analog of the sphaleron solution in the theory.
We show that the two-dimensional chiral Abelian Higgs model, though anomalous, can be consistently quantized provided that gauge degrees of freedom are adequately taken into account. In this way, the anomaly is canceled by a Wess–Zumino term and as a result, instanton contributions are eliminated from the partition function.
One-loop corrections to the instanton transition in the two-dimensional Abelian Higgs model
