Nonperturbative dynamics of noncommutative gauge theory
By J. Ambjørn, Y. Makeenko, J. Nishimura, R. Szabo. 2000
141 citations recorded by the source corpus.
Abstract We present a nonperturbative lattice formulation of noncommutative Yang–Mills theories in arbitrary even dimension. We show that lattice regularization of a noncommutative field theory requires finite lattice volume which automatically provides both an ultraviolet and an infrared cutoff. We demonstrate explicitly Morita equivalence of commutative U( p ) gauge theory with p · n f flavours of fundamental matter fields on a lattice of size L with twisted boundary conditions and noncommutative U(1) gauge theory with n f species of matter on a lattice of size p · L with single-valued fields. We discuss the relation with twisted large N reduced models and construct observables in noncommutative gauge theory with matter.
Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/bd29147d63b45cf2455ebb63d9f3751f93e7bbd5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Phase structure of non-commutative scalar field theories (2000, background): “Second, compactifying the non-commutative position space also entails a compactification in momentum space [ 28 ]: this is one of several manifestations of the interplay between ultraviolet and infrared effects.”
- Introduction to M(atrix) theory and noncommutative geometry (2000, methodology): “The approach to noncommutative Yang-Mills theory in terms of a limit of finite-dimensional matrices was developed in [84], [85], [86].”
- Observables of Non-Commutative Gauge Theories (2000, background): “This raises the question: what are the non-commutative generalizations of gauge invariant operator such as Tr F (2)(k)? Ishibashi, Iso, Kawai, and Kitazawa have recently constructed a set of gauge invariant operators in non-commutative gauge theories carrying non-vanishing momentum [3] (See also [4,”