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We analyze in an effective Lagrangian framework the connection between Super QCD (Super Yang Mills) and QCD (Yang Mills) by highlighting the crucial role that the zero modes play in the process of decoupling gluinos and squarks.

High Energy Physics - Theory · Physics 2011-04-26 Renata Jora

Recently a non-supersymmetric analog of Veneziano-Yankielowicz (VY) effective Lagrangian has been proposed and applied for the analysis of the theta dependence in pure Yang-Mills theory. This effective Lagrangian is similar in many respects…

High Energy Physics - Theory · Physics 2009-10-31 Igor Halperin , Ariel Zhitnitsky

Lee-Yang theory, based on the study of zeros of the partition function, is widely regarded as a powerful and complimentary approach to the study of critical phenomena and forms a foundational part of the theory of phase transitions. Its…

Strongly Correlated Electrons · Physics 2023-08-02 Jonathan D'Emidio

Color-ordered tree level scattering amplitudes in Yang-Mills theories can be written as a sum over terms which display the various propagator poles of Feynman diagrams. The numerators in these expressions which are obtained by…

High Energy Physics - Theory · Physics 2015-06-22 Diana Vaman , York-Peng Yao

Using the properties of the partition function for a Yang Mills theory we compute simple relations among the renormalization constants. In the particular case of the background gauge field method we obtain that the all orders beta function…

High Energy Physics - Phenomenology · Physics 2015-05-06 Renata Jora

We find that the zero mode($q^{+}=0$ mode of a continuum theory) contribution is crucial to obtain the correct values of the light-front current $J^{-}$ in the Drell-Yan($q^{+}=0$) frame. In the exactly solvable model of (1+1)-dimensional…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ho-Meoyng Choi , Chueng-Ryong Ji

Light-front Hamiltonian for Yukawa type models is determined without the framework of canonical light-front formalism. Special attention is given to the contribution of zero modes.

High Energy Physics - Theory · Physics 2008-11-26 A. B. Bylev , V. A. Franke , E. V. Prokhvatilov

The BCJ decomposition is a highly non-trivial property of gauge theories. In this paper we systematically construct an effective Lagrangian, whose Feynman rules automatically produce the BCJ numerators. The effective Lagrangian contains…

High Energy Physics - Theory · Physics 2021-01-13 Mathias Tolotti , Stefan Weinzierl

The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems.…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Aydin Deger , Kay Brandner , Christian Flindt

Lee-Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent…

Statistical Mechanics · Physics 2022-12-14 Chengshu Li , Fan Yang

We consider how the Lee-Yang description of phase transitions in terms of partition function zeros applies to nonequilibrium systems. Here one does not have a partition function, instead we consider the zeros of a steady-state normalization…

Statistical Mechanics · Physics 2009-11-07 R. A. Blythe , M. R. Evans

A new approach to effective theory of quarks in the instanton vacuum is presented. Exact equations for the quark propagator and Lagrangian are derived which contain contributions of all quark modes with known coefficients. The resulting…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. O. Kerbikov , D. S. Kuzmenko , Yu. A. Simonov

We compute here the Yang-Mills effective action on Moyal space by integrating over the scalar fields in a noncommutative scalar field theory with harmonic term, minimally coupled to an external gauge potential. We also explain the special…

High Energy Physics - Theory · Physics 2008-12-11 Axel de Goursac

We investigate the transition form factors between nucleon and $\Delta$(1232) particles by using a covariant quark-spectator-diquark field theory model in (3+1) dimensions. Performing a light-front calculation in parallel with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jianghao Yu , Teng Wang , Chueng-Ryong Ji , Bo-Qiang Ma

Lee-Yang zeros are points in the complex plane of an external control parameter at which the partition function vanishes for a many-body system of finite size. In the thermodynamic limit, the Lee-Yang zeros approach the critical value on…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Aydin Deger , Christian Flindt

We report Lee-Yang zeros behavior at finite temperature and density. The quark number densities, <n>, are calculated at the pure imaginary chemical potential, where no sign problem occurs. Then, the canonical partition functions,…

High Energy Physics - Lattice · Physics 2019-04-24 M. Wakayama , V. G. Bornyakov , D. L. Boyda , V. A. Goy , H. Iida , A. V. Molochkov , A. Nakamura , V. I. Zakharov

We explore the distribution of Lee-Yang zeros around the critical point that appears in the heavy-quark region of QCD at nonzero temperature in lattice numerical simulations. With the aid of the hopping-parameter expansion that is well…

High Energy Physics - Phenomenology · Physics 2025-03-31 Masakiyo Kitazawa , Tatsuya Wada , Kazuyuki Kanaya

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

High Energy Physics - Phenomenology · Physics 2020-04-23 Markus Q. Huber

We present an approach to $U_\star(N)$ Yang-Mills theory in non-commutative space based upon a novel phase-space analysis of the dynamical fields with additional auxiliary variables that generate Lorentz structure and colour degrees of…

High Energy Physics - Theory · Physics 2019-05-01 Naser Ahmadiniaz , Olindo Corradini , James P. Edwards , Pablo Pisani

Null Wilson loops in $\mathcal{N}=4$ super Yang-Mills are dual to planar scattering amplitudes. This duality implies hidden symmetries for both objects. We consider closely related infrared finite observables, defined as the Wilson loop…

High Energy Physics - Theory · Physics 2022-02-14 Dmitry Chicherin , Johannes M. Henn
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