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We study the Causal Dynamical Triangulation (CDT) with extended interactions in 1+1 dimensions applying the method in the non-critical string field theory (SFT) constructed by Ishibashi and Kawai. For this model, we solve Schwinger-Dyson's…

高能物理 - 理论 · 物理学 2015-05-30 Hiroyuki Fuji , Yuki Sato , Yoshiyuki Watabiki

It is well known that confinings and asymptotic freedom are properties of quantum chromo-dynamics (QCD). But hints of these features can also be observed at purely classic levels. For this purpose we need to find solutions to the…

高能物理 - 理论 · 物理学 2013-10-01 Ding-fang Zeng

The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively.…

高能物理 - 理论 · 物理学 2013-05-30 Axel Weber

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet…

高能物理 - 理论 · 物理学 2013-05-29 Matthieu Tissier , Nicolas Wschebor

We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for…

高能物理 - 理论 · 物理学 2009-10-28 O. Ganor , J. Sonnenschein , S. Yankielowicz

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

高能物理 - 理论 · 物理学 2009-10-31 M. Billo' , A D'Adda , P. Provero

Scalar field theories with $\mathbb{Z}_{2}$-symmetry are the traditional playground of critical phenomena. In this work these models are studied using functional renormalization group (FRG) equations at order $\partial^2$ of the derivative…

高能物理 - 理论 · 物理学 2018-08-01 N. Defenu , A. Codello

We review the application of bosonic string techniques to the calculation of renormalization constants and effective actions in Yang-Mills theory. We display the multiloop string formulas needed to compute Yang-Mills amplitudes, and we…

高能物理 - 理论 · 物理学 2009-10-30 Paolo Di Vecchia , Alberto Lerda , Lorenzo Magnea , Raffaele Marotta , Rodolfo Russo

We present a conjecture for the normalisation of the twist two conformal partial waves in a double OPE limit of the four-point function of stress tensor multiplets in N = 4 super Yang-Mills theory up to three loops. This contains…

高能物理 - 理论 · 物理学 2012-07-18 Burkhard Eden

In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge.…

高能物理 - 理论 · 物理学 2023-03-24 Hynek Paul , Eric Perlmutter , Himanshu Raj

We calculate the third coefficient of the lattice $\beta$ function in pure Yang-Mills theory. We make use of a computer code for solving perturbation theory analytically on the lattice. We compute the divergent integrals by using a method…

高能物理 - 格点 · 物理学 2009-10-28 B. Alles , A. Feo , H. Panagopoulos

In the low temperature phase of the square Ising model, we describe the inverse temperature beta as the function of a squared mass M and study the critical behavior of beta(M) via the large M expansion. Using the delta-expansion by which…

高能物理 - 格点 · 物理学 2015-03-31 Hirofumi Yamada

In this work we study the main properties and the one-loop renormalization of a Yang-Mills theory in which the kinetic term contains also a fourth-order differential operator; in particular, we add to the Yang-Mills Lagrangian the most…

高能物理 - 理论 · 物理学 2017-11-13 Lorenzo Casarin

We study the null dipole deformation of N=4 super Yang-Mills theory, which is an example of a potentially solvable "dipole CFT": a theory that is non-local along a null direction, has non-relativistic conformal invariance along the…

高能物理 - 理论 · 物理学 2019-02-01 Monica Guica , Fedor Levkovich-Maslyuk , Konstantin Zarembo

In General Relativity, cosmic strings are well known to produce a static, locally flat spacetime with a wedge removed. If the tension exceeds a critical value, the deficit angle becomes larger than $ 2\pi $, leading to a compact exterior…

广义相对论与量子宇宙学 · 物理学 2015-05-20 Florian Niedermann , Robert Schneider

We study the spatial volume dependence of electric flux energies for SU(2) Yang-Mills fields on the torus with twisted boundary conditions. The results approach smoothly the rotational invariant Confinement regime. The would-be string…

高能物理 - 格点 · 物理学 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Pablo Martinez

We present a string theory that reproduces the large-$N$ expansion of two dimensional Yang-Mills gauge theory on arbitrary surfaces. First, a new class of topological sigma models is introduced, with path integrals localized to the moduli…

高能物理 - 理论 · 物理学 2009-10-28 Petr Horava

We study the scaling of the magnetic susceptibility in the square Ising model based upon the delta-expansion in the high temperature phase. The susceptibility chi is expressed in terms of the mass M and expanded in powers of 1/M. The…

统计力学 · 物理学 2014-09-11 Hirofumi Yamada

We study the 2D Ising model in a complex magnetic field in the vicinity of the Yang-Lee edge singularity. By using Baxter's variational corner transfer matrix method combined with analytic techniques, we numerically calculate the scaling…

高能物理 - 理论 · 物理学 2024-01-03 Vladimir V. Mangazeev , Bryte Hagan , Vladimir V. Bazhanov

The two-dimensional Ising model is the simplest model of statistical mechanics exhibiting a second order phase transition. While in absence of magnetic field it is known to be solvable on the lattice since Onsager's work of the forties,…

高能物理 - 理论 · 物理学 2009-11-10 Gesualdo Delfino