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We compute the two-loop corrections to the thermodynamical pressure of an SU(2) Yang-Mills theory being in its electric phase. Our results prove that the one-loop evolution of the effective gauge coupling constant is reliable for any…

High Energy Physics - Theory · Physics 2007-05-23 U. Herbst , R. Hofmann , J. Rohrer

We present a general algorithm to compute off-shell, one-loop multigluon Green functions using bosonic string amplitudes. We identify and parametrize the regions in the space of moduli of one-loop Riemann surfaces that contribute to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alberto Frizzo , Lorenzo Magnea , Rodolfo Russo

Simulations of gauge theories on quantum computers require the digitization of continuous field variables. Digitization schemes that uses the minimum amount of qubits are desirable. We present a practical scheme for digitizing $SU(3)$ gauge…

High Energy Physics - Lattice · Physics 2019-12-11 Andrei Alexandru , Paulo F. Bedaque , Siddhartha Harmalkar , Henry Lamm , Scott Lawrence , Neill C. Warrington

We present intermediate results of an ongoing investigation which attempts a generalization of the well known one-loop Bern Kosower rules of Yang-Mills theory to higher loop orders. We set up a general procedure to extract the field…

High Energy Physics - Theory · Physics 2007-05-23 Boris Kors , Michael G. Schmidt

We consider the off-shell formulation of the 5D, $ {\cal N}$=1 super Yang-Mills and super Chern-Simons theories in harmonic superspace. Using such a formulation we develop a manifestly supersymmetric and gauge invariant approach to…

High Energy Physics - Theory · Physics 2016-01-20 I. L. Buchbinder , N. G. Pletnev

We develop a method to compute the one-loop effective action of noncommutative U(1) gauge theory based on the bosonic worldline formalism, and derive compact expressions for N-point 1PI amplitudes. The method, resembling perturbative string…

High Energy Physics - Theory · Physics 2016-09-06 Youngjai Kiem , Yeonjung Kim , Cheol Ryou , Haru-Tada Sato

We present a general method to account for full colour dependence Yang-Mills amplitudes at loop level. The method fits most naturally into the framework of multi-loop integrand reduction and in a nutshell amounts to consistently retaining…

High Energy Physics - Phenomenology · Physics 2017-02-22 Alexander Ochirov , Ben Page

Improved actions in SU(2) and SU(3) lattice gauge theories are investigated with an emphasis on asymptotic scaling. A new scheme for tadpole improvement is proposed. The standard but heuristic tadpole improvement emerges from a mean field…

High Energy Physics - Lattice · Physics 2008-11-26 Kurt Langfeld

We present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one loop level in lattice perturbation theory. Our calculations have been performed for Wilson/clover fermions and a…

High Energy Physics - Lattice · Physics 2018-04-18 M. Constantinou , H. Panagopoulos

Recently, a general result for evaluating the path integral at one loop was obtained in the form of the Universal One-Loop Effective Action. It may be used to derive effective field theory operators of dimensions up to six, by evaluating…

High Energy Physics - Phenomenology · Physics 2016-09-21 Sebastian A. R. Ellis , Jeremie Quevillon , Tevong You , Zhengkang Zhang

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

We derive a geometric representation of couplings between spin degrees of freedom and gauge fields within the worldline approach to quantum field theory. We combine the string-inspired methods of the worldline formalism with elements of the…

High Energy Physics - Theory · Physics 2009-11-11 Holger Gies , Jens Hammerling

Some nonperturbative aspects of Euclidean Yang-Mills theories in four dimensions, quantized in the Landau gauge, are analytically studied. In particular, we investigate the dynamical mass generation for the gluons due to the presence of…

High Energy Physics - Theory · Physics 2007-05-30 R. F. Sobreiro

In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

High Energy Physics - Theory · Physics 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

By superposition of regular gauge instantons or merons, ensembles of gauge fields are constructed which describe the confining phase of SU(2) Yang-Mills theory. Various properties of the Wilson loops, the gluon condensate and the…

High Energy Physics - Phenomenology · Physics 2010-02-16 F. Lenz

Flow equations method of continuous unitary transformations is used to eliminate the minimal quark-gluon interaction in the light-front quantized QCD Hamiltonian. The coupled differential equations in the two lowest Fock sectors correspond…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova

We consider electroweak symmetry breaking by a certain class of non-local Higgs sectors. Extending previous studies employing the Mandelstam condition, a straight Wilson line is used to make the Higgs action gauge invariant. We show the…

High Energy Physics - Phenomenology · Physics 2015-05-30 M. Beneke , P. Knechtges , A. Mück

We present a technique which utilizes unitarity and collinear limits to construct ansatze for one-loop amplitudes in gauge theory. As an example, we obtain the one-loop contribution to amplitudes for $n$ gluon scattering in $N=4$…

High Energy Physics - Phenomenology · Physics 2009-09-25 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We present a computer library for the numerical evaluation of colour-ordered n-gluon amplitudes at one-loop order in pure Yang-Mills theory. The library uses the recently developed technique of generalised unitarity. Running in double…

High Energy Physics - Phenomenology · Physics 2013-03-05 Simon Badger , Benedikt Biedermann , Peter Uwer

This thesis examines low-energy effective actions of supersymmetric quantum field theories. These actions contain information about the low-energy field content and dynamics of quantum field theories and are essential for understanding…

High Energy Physics - Theory · Physics 2014-01-21 Simon James Tyler