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We introduce the dynamical sine-Gordon equation in two space dimensions with parameter $\beta$, which is the natural dynamic associated to the usual quantum sine-Gordon model. It is shown that when $\beta^2 \in (0,\frac{16\pi}{3})$ the Wick…

Probability · Mathematics 2016-01-27 Martin Hairer , Hao Shen

The well-known phase structure of the two-dimensional sine-Gordon model is reconstructed by means of its renormalization group flow, the study of the sensitivity of the dynamics on microscopic parameters. Such an analysis resolves the…

High Energy Physics - Theory · Physics 2008-11-26 S. Nagy , I. Nandori , J. Polonyi , K. Sailer

We investigate the quark-gluon mixed condensate <qbar sigma*G q> m^2_0 = <qbar q> for the SU(2) light-flavor sector at finite temperature (T). Relevant model parameters, such as the average (anti)instanton size, inter-(anti)instanton…

High Energy Physics - Phenomenology · Physics 2015-06-16 Seung-il Nam

We consider the dipole-dipole correlations for the two-dimensional Coulomb gas/sine-Gordon model for $\beta> 8\pi$ by a renormalization group method. First we re-establish the renormalization group analysis for the partition function using…

Mathematical Physics · Physics 2011-08-17 Guowei Zhao

A new Dimensional Regularization of $\gamma_5$ is proposed. Cyclicity and Lorentz covariance are enforced. The extension to generic dimension is based on the integral representation of the trace of gamma's, presented in a previous paper.

High Energy Physics - Theory · Physics 2017-11-22 Ruggero Ferrari

We construct an inflationary model in 6D supergravity that is based on explicit time-dependent solutions to the full higher-dimensional field equations, back-reacting to the presence of a 4D inflaton rolling on a space-filling codimension-2…

High Energy Physics - Theory · Physics 2015-05-30 Leo van Nierop , C. P. Burgess

Based on the quark propagator in the instanton dilute liquid approximation, we calculate analytically the quark condensate $<\bar{q}q>$, the mixed quark gluon condensate $g_{s}<\bar{q}G_{\mu\nu}\sigma^{\mu\nu}q>$ and the four quark…

Nuclear Theory · Physics 2009-10-31 H. S. Zong , X. F. Lu , J. Z. Gu , C. H. Chang , E. G. Zhao

An effective Lagrangian approach to describe the dynamics of confinement and symmetry breaking in the process of quark-gluon to hadron conversion is proposed. The deconfined quark and gluon degrees of freedom of the perturbative QCD vacuum…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Geiger

Gauge dependence of the dimension two condensate in Abelian and non-Abelian Yang-Mills theory is investigated.

High Energy Physics - Theory · Physics 2009-11-11 D. V. Bykov , A. A. Slavnov

Two and three point functions of composite operators are analysed with regard to (logarithmically) divergent contact terms. Using the renormalisation group of dimensional regularisation it is established that the divergences are governed by…

High Energy Physics - Theory · Physics 2017-04-24 Vladimir Prochazka , Roman Zwicky

We study in a systematic and modular invariant way gaugino condensation in the hidden sector as a potential source of hierarchical supersymmetry breaking and a non--trivial potential for the dilaton $S$ whose real part corresponds to the…

High Energy Physics - Theory · Physics 2009-10-29 B. de Carlos , J. A. Casas , C. Muñoz

Using the t--J model (which can also include Coulomb repulsion) and the ``plain vanilla'' renormalized mean-field theory of Zhang et al. (1988), stability of inhomogeneous 4a x 4a superstructures as those observed in cuprates…

Strongly Correlated Electrons · Physics 2009-11-11 Didier Poilblanc

We explain how Regge theory and perturbative evolution may be made compatible at small x. The result not only gives striking support to the two-pomeron description of small-x behaviour, but gives a rather clean test of perturbative QCD…

High Energy Physics - Phenomenology · Physics 2014-11-17 A Donnachie , P V Landshoff

The NSVZ $\beta$ functions in two-dimensional $\mathcal N=(0,2)$ supersymmetric models are revisited. We construct and discuss a broad class of such models using the gauge formulation. All of them represent direct analogs of…

High Energy Physics - Theory · Physics 2019-03-27 Jin Chen , Mikhail Shifman

We investigate n-gluon scattering amplitudes in the multi-Regge region of N=4 supersymmetric Yang-Mills theory at strong coupling. Through a careful analysis of the thermodynamic bubble ansatz (TBA) for surfaces in AdS5 with n-g(lu)on…

High Energy Physics - Theory · Physics 2013-01-08 J. Bartels , V. Schomerus , M. Sprenger

We perform the fit to the structure function $F_2$ data from HERA including terms due to the resummation at small $x$. The equation for the unintegrated gluon density is solved, previously established within the renormalization group…

High Energy Physics - Phenomenology · Physics 2022-07-13 Wanchen Li , Anna M. Stasto

The anomalous dimensions of the gluon and ghost fields as well as the ghost-ghost-gluon and quark-quark-gluon vertexes are analytically computed in pQCD. Taken together with already available anomalous dimensions of the coupling constant,…

High Energy Physics - Phenomenology · Physics 2010-04-05 K. G. Chetyrkin

We investigate a new type of a two-Higgs-doublet model as a solution of the muon $g-2$ anomaly. We impose a softly-broken $Z_4$ symmetry to forbid tree level flavor changing neutral currents in a natural way. This $Z_4$ symmetry restricts…

High Energy Physics - Phenomenology · Physics 2017-08-02 Tomohiro Abe , Ryosuke Sato , Kei Yagyu

U(1) lattice gauge theory with $\theta$-term is investigated by real space renormalization group approach. Flows of renormalized coupling constants are analyzed. For each $\theta$, renormalization flows converge to a single trajectory…

High Energy Physics - Lattice · Physics 2017-03-08 Ahmed Sayed HASSAN , Masahiro IMACHI , Hiroshi YONEYAMA

We investigate the consistency requirements of the next-to leading BFKL equation with the renormalization group, with particular emphasis on running coupling effects and NL anomalous dimensions. We show that, despite some model dependence…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni