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The known calculations of the fermion condensate $<\bar{\psi}\psi>$ and the correlator $<\bar{\psi}\psi(x) ~\bar{\psi}\psi(0)>$ have been interpreted in terms of {\em localized} instanton solutions minimizing the {\em effective} action.…

High Energy Physics - Theory · Physics 2009-09-25 A. V. Smilga

We present a tensor formulation for free compact electrodynamics in three Euclidean dimensions and use this formulation to construct a quantum Hamiltonian in the continuous-time limit. Gauge-invariance is maintained at every step and the…

High Energy Physics - Lattice · Physics 2019-04-17 Judah F. Unmuth-Yockey

We show that, within the framework of suitably chosen approximate effective actions it is possible to evaluate analytically the string tension, the spacelike string tension and the deconfinement temperature of (2+1) dimensional lattice…

High Energy Physics - Lattice · Physics 2009-10-28 M. Caselle

In this letter we explore the dependence on the gauge fixing condition of several quantities in the U(1) Higgs model at finite temperature and chemical potential. We compute the effective potential at the one loop level, using a gauge…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Loewe , S. Mendizabal , R. A. Santos

The process of deriving an interatomic potentials represents an attempt to integrate out the electronic degrees of freedom from the full quantum description of a condensed matter system. In practice it is the derivatives of the interatomic…

Materials Science · Physics 2016-06-23 G. J. Ackland

Any description of gluons requires a well-defined gauge. This is complicated non-perturbatively by Gribov copies. A possible method-independent gauge definition to resolve this problem is presented and afterwards used to study the…

High Energy Physics - Lattice · Physics 2015-05-14 Axel Maas

It is proposed that the cooling of a thermalized SU($N$) gauge theory can be formulated in terms of a cascade involving three effective theories with successively reduced (and spontaneously broken) gauge symmetries, SU($N$) $\to$…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ralf Hofmann

We study, by means of numerical methods, new $SU(N)$ self-dual instanton solutions on $\mathbf{R}\times \mathbf{T}^3$ with fractional topological charge $Q=1/N$. They are obtained on a box with twisted boundary conditions with a very…

High Energy Physics - Theory · Physics 2022-08-16 Jorge Dasilva Golán , Margarita García Pérez

The analysis in previous publications of the instanton constraints required to produce a finite action of the theory is carried out also for N=2 supersymmetric Yang-Mills theory.

High Energy Physics - Theory · Physics 2007-05-23 N. K. Nielsen

The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv…

Condensed Matter · Physics 2009-10-31 R. Balian , P. Valentin

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the exact summation and present tau functions…

Statistical Mechanics · Physics 2021-03-24 O. Gamayun , N. Iorgov , Yu. Zhuravlev

We discuss Dirichlet instanton effects on type-IIB string Thermodynamics. We review some general properties of dilute D-instanton gases and use the low-energy supergravity solutions to define the normalization of the instanton measure, as…

High Energy Physics - Theory · Physics 2009-10-30 J. L. F. Barbon , M. A. Vazquez-Mozo

Using the ADHM instanton calculus, we evaluate the one-instanton contribution to the low-energy effective prepotential of N=2 supersymmetric SU(N) Yang-Mills theory with N_F flavors of hypermultiplets in the fundamental representation and a…

High Energy Physics - Theory · Physics 2009-10-31 Matthew J. Slater

We propose a few tests of Seiberg-Witten solutions of $\mathcal{N}=2$ supersymmetric gauge theories by the instanton calculus in twisted gauge theories. We re-examine the low-energy effective abelian theory in the presence of sources and…

High Energy Physics - Theory · Physics 2017-09-07 Andrei Losev , Nikita Nekrasov , Samson Shatashvili

We develop a cooling method controlled by a physical cooling radius that defines a scale below which fluctuations are smoothed out while leaving physics unchanged at all larger scales. We apply this method to study topological properties of…

High Energy Physics - Lattice · Physics 2010-12-14 Margarita Garcia Perez , Owe Philipsen , Ion Olimpiu Stamatescu

The pure-Skyrme limit of a scale-breaking Skyrmed O(3) sigma model in 1+1 dimensions is employed to study the effect of the Skyrme term on the semiclassical analysis of a field theory with instantons. The instantons of this model are…

High Energy Physics - Theory · Physics 2009-10-31 H. J. W. Mueller-Kirsten , S. -N. Tamarian , D. H. Tchrakian , F. Zimmerschied

We relate the non-perturbative exact results in supersymmetry to perturbation theory using several different methods: instanton calculations at weak or strong coupling, a method using gaugino condensation and another method relating strong…

High Energy Physics - Theory · Physics 2016-09-06 D. Finnell , P. Pouliot

Explicit construction of the basic SU(2) anti-instantons over the multi-Taub--NUT geometry via the classical conformal rescaling method is exhibited. These anti-instantons satisfiy the so-called weak holonomy condition at infinity with…

Differential Geometry · Mathematics 2011-01-05 Gabor Etesi , Szilard Szabo

We look for instanton solutions in a class of two scalar field gravity models, which includes the low energy string action in four dimensions. In models where the matter field has a potential with a false vacuum, we find that non-singular…

High Energy Physics - Theory · Physics 2009-10-31 P. M. Saffin , Anupam Mazumdar , E. J. Copeland

The Drinfeld-Manin construction of U(N) instanton is reformulated in the ADHM formulism, which gives explicit general solutions of the ADHM constraints for U(N) (N>=2k-1) k-instantons. For the N<2k-1 case, implicit results are given…

High Energy Physics - Theory · Physics 2011-04-07 Yu Tian