Brandt, Bastian B. and Lohmayer, Robert and Wettig, Tilo (2016) Induced QCD I: theory. JOURNAL OF HIGH ENERGY PHYSICS (11): 087. ISSN 1029-8479,
Full text not available from this repository. (Request a copy)Abstract
We explore an alternative discretization of continuum SU(N-c) Yang-Mills theory on a Euclidean spacetime lattice, originally introduced by Budzcies and Zirnbauer. In this discretization the self-interactions of the gauge field are induced by a path integral over N-b auxiliary boson fields, which are coupled linearly to the gauge field. The main progress compared to earlier approaches is that N-b can be as small as N-c. In the present paper we (i) extend the proof that the continuum limit of the new discretization reproduces Yang-Mills theory in two dimensions from gauge group U(N-c) to SU(N-c), (ii) derive re fined bounds on N-b for non-integer values, and (iii) perform a perturbative calculation to match the bare parameter of the induced gauge theory to the standard lattice coupling. In follow-up papers we will present numerical evidence in support of the conjecture that the induced gauge theory reproduces Yang-Mills theory also in three and four dimensions, and explore the possibility to integrate out the gauge fields to arrive at a dual formulation of lattice QCD.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | CHIRAL SYMMETRY-BREAKING; LATTICE GAUGE-THEORIES; YANG-MILLS THEORY; EQUIVALENCE; Lattice QCD; Lattice Quantum Field Theory |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Tilo Wettig |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Apr 2019 10:35 |
| Last Modified: | 12 Apr 2019 10:35 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3952 |
Actions (login required)
 |
View Item |
