scholarly journals Lattice simulations of a gauge theory with mixed adjoint-fundamental matter

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Georg Bergner ◽  
Stefano Piemonte
Keyword(s):  
Gauge Theory ◽  
Fundamental Matter

scholarly journals DISCRETE NONCOMMUTATIVE GAUGE THEORY

2001 ◽  
Vol 16 (04n06) ◽  
pp. 367-386 ◽  
Author(s):  
RICHARD J. SZABO
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Wilson Line ◽  
Morita Equivalence ◽  
Generic Properties ◽  
Gauge Invariant ◽  
Fundamental Matter ◽  
Generic Relation ◽  
Noncommutative Gauge Theory ◽  
Noncommutative Quantum

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.

scholarly journals A class of Hermitian generalized Jordan triple systems and Chern–Simons gauge theory

2014 ◽  
Vol 29 (29) ◽  
pp. 1450156
Author(s):  
Noriaki Kamiya ◽  
Matsuo Sato
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Triple Systems ◽  
Fundamental Matter ◽  
Jordan Triple Systems ◽  
Chern Simons

We find a class of Hermitian generalized Jordan triple systems (HGJTSs) and Hermitian (ϵ, δ)-Freudenthal–Kantor triple systems (HFKTSs). We apply one of the most simple HGJTSs which we find to a field theory and obtain a typical u(N) Chern–Simons gauge theory with a fundamental matter.

scholarly journals Sequential deconfinement in 3d $$ \mathcal{N} $$ = 2 gauge theories

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Sergio Benvenuti ◽  
Ivan Garozzo ◽  
Gabriele Lo Monaco
Keyword(s):  
Gauge Theory ◽  
Gauge Theories ◽  
Original Theory ◽  
Fundamental Matter ◽  
Chiral Ring ◽  
Rank 2 ◽  
Single Field

Abstract We consider 3d$$ \mathcal{N} $$ N = 2 gauge theories with fundamental matter plus a single field in a rank-2 representation. Using iteratively a process of “deconfinement” of the rank-2 field, we produce a sequence of Seiberg-dual quiver theories. We detail this process in two examples with zero superpotential: Usp(2N) gauge theory with an antisymmetric field and U(N) gauge theory with an adjoint field. The fully deconfined dual quiver has N nodes, and can be interpreted as an Aharony dual of theories with rank-2 matter. All chiral ring generators of the original theory are mapped into gauge singlet fields of the fully deconfined quiver dual.

Sign in / Sign up

Export Citation Format

Share Document