Recently there has been much interest in gauge theories applied to condensed matter physics. I show that for a system of nonrelativistic electrons coupled to a U(1) gauge field in the presence of a Fermi surface, the β-function to one-loop order is, for a particular family of gauge-choices, independent of the gauge-choice.

Gauge functions significantly generalize the notion of a norm, and gauge optimization, as defined by Freund (1987), seeks the element of a convex set that is minimal with respect to a gauge function. This conceptually simple problem can be used to model a remarkable array of useful problems, including a special case of conic optimization, and related problems that arise in machine learning and ...

We would like to build a general understanding of branes, the gauge fields to which they are coupled, and the gauge fields living on their world volume. First, we review electromagnetism in four dimensions. Define F (2) = dA as the field strength of the gauge field A. Then under a gauge transformation of the gauge field A by a total derivative d�, with � an arbitrary 0-form (or an arbitrary fun...

Gauge functions significantly generalize the notion of a norm, and gauge optimization, as defined by [R. M. Freund, Math. Programming, 38 (1987), pp. 47–67], seeks the element of a convex set that is minimal with respect to a gauge function. This conceptually simple problem can be used to model a remarkable array of useful problems, including a special case of conic optimization, and related pr...

there exist simple theories to predict the strain of sandwich structures under a bending load and specific support conditions. although theoretical predictions are highly effective, but the role of testing in validation of these theories and their progress is undeniable. the main goal of the present paper is to prepare a test instruction in order to minimize the error of data acquisition and th...

By projecting the partition function on "color"-singlet state, we investigate Hosotani mechanism in fermion-gauge boson plasma. The present toy-model analysis of one-loop effective potential at finite temperature shows that critical gauge symmetry breaking increases higher smaller volume.

It is proposed to use the pinch technique (PT) to obtain the gaugeindependent thermal β function in a hot Yang-Mills gas. Calculations of the thermal β function are performed at one-loop level in four different gauges, (i) the background field method with an arbitrary gauge, (ii) the Feynman gauge, (iii) the Coulomb gauge, and (iv) the temporal axial gauge, and they yield the same result in all...

The problem of maintaining gauge invariance when truncating the two particle irreducible (2PI) effective action has been studied recently by several authors. Here we give a simple and very general derivation of the gauge dependence identities for the off-shell 2PI effective action. We consider the case where the gauge is fixed by an arbitrary function of the quantum gauge field, subject only to...

Building on recent work in SU(N) Yang-Mills theory, we construct a manifestly gauge invariant exact renormalization group for QCD. A gauge invariant cutoff is constructed by embedding the physical gauge theory in a spontaneously broken SU(N |N) gauge theory, regularized by covariant higher derivatives. Intriguingly, the construction is most efficient if the number of flavours is a multiple of t...