scholarly journals 4-dimensional layer phase as a gauge field localization: Extensive study of the 5-dimensional anisotropic U(1) gauge model on the lattice

2006 ◽  
Vol 74 (9) ◽  
Author(s):  
P. Dimopoulos ◽  
K. Farakos ◽  
S. Vrentzos
2012 ◽  
Vol 711 (1) ◽  
pp. 97-103 ◽  
Author(s):  
L.J.S. Sousa ◽  
W.T. Cruz ◽  
C.A.S. Almeida

2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
L. F. F. Freitas ◽  
G. Alencar ◽  
R. R. Landim

1988 ◽  
Vol 03 (15) ◽  
pp. 1489-1497
Author(s):  
HIROSHI KOIBUCHI ◽  
MITSURU YAMADA

Applying the Monte Carlo technique, we study the statistical mechanics of U(1) gauge model on two dimensional spherical lattice of the Mercator type. Special emphasis is put on the topology of the gauge-field configuration. At sufficiently low temperatures, we demonstrate the existence of many metastable states, each of which has a well-defined Chern number. At higher temperatures, we observe how they lose their topology and collapse.


2013 ◽  
Vol 87 (4) ◽  
Author(s):  
W. T. Cruz ◽  
Aristeu R. P. Lima ◽  
C. A. S. Almeida

2001 ◽  
Vol 617 (1-3) ◽  
pp. 237-252 ◽  
Author(s):  
P Dimopoulos ◽  
K Farakos ◽  
A Kehagias ◽  
G Koutsoumbas

2014 ◽  
Vol 739 ◽  
pp. 125-127 ◽  
Author(s):  
G. Alencar ◽  
R.R. Landim ◽  
M.O. Tahim ◽  
R.N. Costa Filho

2020 ◽  
Vol 807 ◽  
pp. 135549
Author(s):  
K. Farakos ◽  
A. Kehagias ◽  
G. Koutsoumbas

2005 ◽  
Vol 83 (10) ◽  
pp. 1051-1061 ◽  
Author(s):  
Marie Gagne-Portelance ◽  
D.G.C. McKeon

The AV (n) one-loop graphs are examined in a 2n-dimensional massless noncommutative gauge model in which both a U(1) axial gauge field A and a U(1) vector gauge field V have adjoint couplings to a Fermion field. A possible anomaly in the divergence of the n + 1 vertices is examined by considering the surface term that can possibly arise when shifting the loop momentum variable of integration. It is shown that despite the fact that the graphs are nonplanar, surface terms do arise in individual graphs, but that in 4n dimensions, a cancellation between the surface term contribution coming from pairs of graphs eliminates all anomalies, while in 4n + 2 dimensions such a cancellation cannot occur and an anomaly necessarily arises.PACS No.: 11.30.Rd


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