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Related papers: Two-loop mass anomalous dimension in reduced quant…

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We search for infrared zeros of the beta function and evaluate the anomalous dimension of the mass at the associated fixed point for asymptotically free vector-like fermionic gauge theories with gauge group SU(N). The fixed points of the…

High Energy Physics - Theory · Physics 2014-10-02 Thomas A. Ryttov

This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the…

High Energy Physics - Theory · Physics 2016-12-20 Henry Kißler , Dirk Kreimer

We analyze the many-flavor phase diagram of quantum electrodynamics (QED) in 2+1 (Euclidean) space-time dimensions. We compute the critical flavor number above which the theory is in the quasi-conformal massless phase. For this, we study…

High Energy Physics - Phenomenology · Physics 2014-08-12 Jens Braun , Holger Gies , Lukas Janssen , Dietrich Roscher

The mechanism of dynamical mass generation for the gauge field is studied through 1-loop. We find out that torsion is an obstruction to the appearance of a 1-loop mass correction. Contrary, if torsion is not present, a mass gap is generated…

High Energy Physics - Theory · Physics 2007-05-23 J. L. Boldo , J. A. Helayel-Neto , N. Panza

We study the fermion pair production from a strong electric field in boost-invariant coordinates in (3+1) dimensions and exploit the cylindrical symmetry of the problem. This problem has been used previously as a toy model for populating…

High Energy Physics - Phenomenology · Physics 2014-11-18 Bogdan Mihaila , Fred Cooper , John F. Dawson

It is shown that a constant magnetic field in 3+1 and 2+1 dimensions is a strong catalyst of dynamical chiral symmetry breaking, leading to the generation of a fermion dynamical mass even at the weakest attractive interaction between…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

The triangle anomaly in massless and massive QED is investigated by adopting the symmetry-preserving loop regularization method proposed recently in \cite{LR}. The method is realized in the initial dimension of theory without modifying the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yong-Liang Ma , Yue-Liang Wu

We study dynamical symmetry breaking in three-dimensional QED with a Chern-Simons (CS) term, considering the screening effect of $N$ flavor fermions. We find a new phase of the vacuum, in which both the fermion mass and a magnetic field are…

High Energy Physics - Theory · Physics 2009-10-31 Taichi Itoh , Hiroshi Kato

In this paper we evaluate the renormalization constants and anomalous dimensions for the squark wave function and mass within supersymmetric QCD. These results complement the ones obtained in Ref. \cite{Harlander:2009mn} and thus provide…

High Energy Physics - Phenomenology · Physics 2015-05-28 Thomas Hermann , Luminita Mihaila , Matthias Steinhauser

The interacting symplectic fermion model in two spatial dimensions is further analyzed. As an effective low energy theory, the model is unitary. We show that a relativistic mass m is dynamically generated and derive a gap equation for it.…

Strongly Correlated Electrons · Physics 2009-03-29 Eliot Kapit , André LeClair

We initiate the conformal bootstrap study of Quantum Electrodynamics in $2+1$ space-time dimensions (QED$_{3}$) with $N$ flavors of charged fermions by focusing on the 4-point function of four monopole operators with the lowest unit of…

High Energy Physics - Theory · Physics 2016-08-24 Shai M. Chester , Silviu S. Pufu

We construct the six dimensional Quantum Chromodynamics (QCD) Lagrangian in a linear covariant gauge and subsequently renormalize it at two loops in the MSbar scheme. The coupling constant corresponding to the gauge interaction is…

High Energy Physics - Theory · Physics 2016-02-17 J. A. Gracey

It is investigated that a dynamical mechanism to generate a low mass fermion in Randall-Sundrum (RS) background. We consider a five-dimensional four- fermion interaction model with two kinds of bulk fermion fields and take all the mass…

High Energy Physics - Phenomenology · Physics 2017-08-23 Tomohiro Inagaki

We present a formulation of the Hamiltonian variational method for QED which enables the derivation of relativistic few-fermion wave equation that can account, at least in principle, for interactions to any order of the coupling constant.…

High Energy Physics - Theory · Physics 2009-11-11 Andrei G. Terekidi , Jurij W. Darewych , Marko Horbatsch

In the exploration of viable models of dynamical electroweak symmetry breaking, it is essential to locate the lower end of the conformal window and know the mass anomalous dimensions there for a variety of gauge theories. We calculate, with…

High Energy Physics - Lattice · Physics 2013-11-27 M. Hayakawa , K. -I. Ishikawa , S. Takeda , N. Yamada

All lowest-order amplitudes for e+e- --> 4f+gamma are calculated including five anomalous quartic gauge-boson couplings that are allowed by electromagnetic gauge invariance and the custodial SU(2)_c symmetry. Three of these anomalous…

High Energy Physics - Phenomenology · Physics 2009-01-07 A. Denner , S. Dittmaier , M. Roth , D. Wackeroth

We evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting…

High Energy Physics - Phenomenology · Physics 2010-10-27 Michal Czakon , Ulrich Haisch , Mikolaj Misiak

A gauge-invariant reformulation of QCD in three spacetime dimensions is presented within a Hamiltonian formalism, extending previous work to include fermion fields in the adjoint and fundamental representations. A priori there are several…

High Energy Physics - Theory · Physics 2015-04-28 Abhishek Agarwal , V. P. Nair

We give a short account of recent advances in our understanding of the $\pi$-dependent terms in massless (Euclidean) 2-point functions as well as in generic anomalous dimensions (ADs) and $\beta$-functions. We extend the considerations of…

High Energy Physics - Phenomenology · Physics 2020-01-08 P. A. Baikov , K. G. Chetyrkin

The mass anomalous dimension is determined in SU(2) gauge theory coupled to $N_f$ fermions in the adjoint representation for $N_f = 2$, $3/2$, $1$ and $1/2$, where half-integer flavor numbers correspond to Majorana fermions. The numerical…

High Energy Physics - Lattice · Physics 2020-11-06 Camilo Lopez , Georg Bergner , Istvan Montvay , Stefano Piemonte