ANOMALOUS FERMION NUMBER NON-CONSERVATION AT HIGH TEMPERATURES: TWO DIMENSIONAL EXAMPLE

1987 ◽  
Vol 02 (12) ◽  
pp. 991-1002 ◽  
Author(s):  
A. I. BOCHKAREV ◽  
M. E. SHAPOSHNIKOV

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.

1990 ◽  
Vol 05 (24) ◽  
pp. 4677-4687 ◽  
Author(s):  
D. YU. GRIGORIEV ◽  
M. E. SHAPOSHNIKOV

We discuss possible approaches to the investigation of anomalous processes with fermion number nonconservation occurring in the hot early Universe. A real-time numerical technique for studying the ground state of gauge theories at high temperatures is developed. This problem is relevant to the scenario of electroweak BAU generation and some other topics. We present the results of real-time simulations of the Abelian Higgs model in (1 + 1) dimensions.


2000 ◽  
Vol 78 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Usha Kulshreshtha

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


1987 ◽  
Vol 33 (4) ◽  
pp. 561-568 ◽  
Author(s):  
S. Grunewald ◽  
E. -M. Ilgenfritz ◽  
M. M�ller-Preussker

2002 ◽  
Vol 80 (12) ◽  
pp. 1631-1644 ◽  
Author(s):  
U Kulshreshtha

The Hamiltonian and BRST formulations of an Abelian–Higgs 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


1978 ◽  
Vol 17 (4) ◽  
pp. 1063-1072 ◽  
Author(s):  
Helen R. Quinn ◽  
Marvin Weinstein

1994 ◽  
Vol 05 (02) ◽  
pp. 339-341
Author(s):  
I. MONTVAY

The investigation of topological properties of the gauge field in a two-dimensional Higgs model can help in understanding anomalous fermion number violation.


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