scholarly journals UV/IR mixing for noncommutative complex scalar field theory interacting with gauge fields

2001 ◽  
Vol 102-103 ◽  
pp. 11-17 ◽  
Author(s):  
I.Ya Aref'eva ◽  
D.M Belov ◽  
A.S Koshelev ◽  
O.A Rytchkov
2021 ◽  
Author(s):  
Kai Zhou ◽  
Gergely Endrodi ◽  
Long-Gang Pang ◽  
Horst Stoecker

2021 ◽  
Vol 1005 ◽  
pp. 121847
Author(s):  
Kai Zhou ◽  
Gergely Endrődi ◽  
Long-Gang Pang ◽  
Horst Stöcker

1993 ◽  
Vol 08 (05) ◽  
pp. 895-907
Author(s):  
S. GHOSH ◽  
S. ROY

The Boussinesq hierarchy equation can be regarded as W3-gravity Ward identity from Polyakov-type gauge fixing on SL (3, R) Lie algebra valued gauge fields through proper identification of the fields. We clarify its relation with the W3-gravity obtained by Hull through gauging the chiral W3-symmetry of a free scalar field theory.


2003 ◽  
Vol 18 (14) ◽  
pp. 955-965 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON

The dual superconductor picture of the QCD vacuum is thought to describe the various aspects of the strong interaction including confinement. Ordinary superconductivity is described by the Ginzburg–Landau (GL) equation. In the present work we show that it is possible to arrive at a GL-like equation from pure SU(2) gauge theory. This is accomplished by using Abelian projection to split the SU(2) gauge fields into an Abelian subgroup and its coset. The two gauge field components of the coset part act as the effective, complex, scalar field of the GL equation. The Abelian part of the SU(2) gauge field is then analogous to the electromagnetic potential in the GL equation. An important feature of the dual superconducting model is for the GL Lagrangian to have a spontaneous symmetry breaking potential, and the existence of Nielsen–Olesen flux tube solutions. Both of these require a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.


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