scholarly journals Noncommutative Gauge Theory and Gravity in Three Dimensions

2018 ◽  
Vol 66 (8-9) ◽  
pp. 1800047 ◽  
Author(s):  
Athanasios Chatzistavrakidis ◽  
Larisa Jonke ◽  
Danijel Jurman ◽  
George Manolakos ◽  
Pantelis Manousselis ◽  
...  
2003 ◽  
Vol 673 (1-2) ◽  
pp. 301-318 ◽  
Author(s):  
P.A. Horváthy ◽  
L. Martina ◽  
P.C. Stichel

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.


1991 ◽  
Vol 269 (1-2) ◽  
pp. 134-138 ◽  
Author(s):  
François David ◽  
Herbert Neuberger

2001 ◽  
Vol 16 (04n06) ◽  
pp. 367-386 ◽  
Author(s):  
RICHARD J. SZABO

A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang–Mills theory is constructed and used to examine some generic properties of noncommutative quantum field theory, such as uv/ir mixing and the appearance of gauge-invariant open Wilson line operators. Morita equivalence in this class of models is derived and used to establish the generic relation between noncommutative gauge theory and twisted reduced models. Finite-dimensional representations of the quotient conditions for toroidal compactification of matrix models are thereby exhibited. The coupling of noncommutative gauge fields to fundamental matter fields is considered and a large mass expansion is used to study the properties of gauge-invariant observables. Morita equivalence with fundamental matter is also presented and used to prove the equivalence between the planar loop renormalizations in commutative and noncommutative quantum chromodynamics.


2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Josiah Couch ◽  
Stefan Eccles ◽  
Willy Fischler ◽  
Ming-Lei Xiao

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