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It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(\pi/\alpha\right)…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. P. Gusynin , V. A. Miransky , I. A. Shovkovy

Multiple lattice evidences support the existence of a confining but chirally symmetric regime of QCD above the chiral symmetry restoration crossover at Tch ~ 155 MeV. This regime is characterised by an approximate chiral spin symmetry of…

High Energy Physics - Phenomenology · Physics 2024-05-08 L. Ya. Glozman , A. V. Nefediev , R. Wagenbrunn

We study the embedded QCD monopoles (``quark monopoles'') using low-lying eigenmodes of the overlap Dirac operator in zero- and finite-temperature SU(2) Yang-Mills theory on the lattice. These monopoles correspond to the gauge-invariant…

High Energy Physics - Lattice · Physics 2007-05-23 M. N. Chernodub , S. M. Morozov

In the limit of vanishing up, down and strange quark masses, QCD exhibits a chiral symmetry. This symmetry is broken spontaneously to its vector subgroup, giving rise to Goldstone bosons. These acquire a small mass through the explicit…

High Energy Physics - Phenomenology · Physics 2024-12-31 Ulf-G. Meißner

We propose a mechanism for instanton induced chiral symmetry breaking in QCD with fundamental scalars. The model Lagragian that we use has the same symmetry properties as QCD. The scalar fields develop vacuum expectation values at a…

High Energy Physics - Phenomenology · Physics 2011-09-13 Rahul Basu , R. Parthasarathy

I report on recent work done in collaboration with M. Knecht on patterns of spontaneous chiral symmetry breaking in the large-Nc limit of QCD-like theories, and with S. Peris and M. Perrottet concerning the question of matching long and…

High Energy Physics - Phenomenology · Physics 2009-10-31 Eduardo de Rafael

A fast restoration of chiral symmetry in excited mesons is demonstrated. A minimal "realistic" chirally symmetric confining model is used, where the only interaction between quarks is the linear instantaneous Lorentz-vector confining…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. F. Wagenbrunn , L. Ya. Glozman

It is shown how the strong interaction dynamics of a multi-quark Lagrangian affects the catalysis of dynamical symmetry breaking by a constant magnetic field in (3+1) dimensions. Attention is drawn to the local minima structure of the…

High Energy Physics - Phenomenology · Physics 2008-12-19 Brigitte Hiller , Alexander A. Osipov , Alex H. Blin , Joao da Providencia

A recent chiral perturbation theory calculation of the in-medium quark condensate $<\bar q q>$ is extended to the isospin-asymmetric case of pure neutron matter. In contrast to the behavior in isospin-symmetric nuclear matter we find only…

Nuclear Theory · Physics 2009-01-16 N. Kaiser , W. Weise

The infrared behavior of the quark-gluon vertex of quenched Landau gauge QCD is studied by analyzing its Dyson-Schwinger equation. Building on previously obtained results for Green functions in the Yang-Mills sector we analytically derive…

High Energy Physics - Phenomenology · Physics 2009-11-13 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

Chiral symmetry breaking in QCD is studied introducing a confining effective propagator, as proposed recently by Cornwall, and considering the effect of dynamically massive gluons. The effective confining propagator has the form…

High Energy Physics - Phenomenology · Physics 2011-12-06 A. A. Natale , A. Doff , F. A. Machado

We revisit the symmetries of massless two-dimensional adjoint QCD with gauge group $SU(N)$. The dynamics is not sufficiently constrained by the ordinary symmetries and anomalies. Here we show that the theory in fact admits $\sim 2^{2N}$…

High Energy Physics - Theory · Physics 2021-05-05 Zohar Komargodski , Kantaro Ohmori , Konstantinos Roumpedakis , Sahand Seifnashri

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field is studied. It is shown that the effect is due to the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor A. Shovkovy

A set of non-supersymmetric minimal area embeddings of an M-theory 5-brane are considered. The field theories on the surface of the 5-brane have the field content of N=2 SQCD with fundamental representation matter fields. By suitable choice…

High Energy Physics - Theory · Physics 2009-10-31 Nick Evans

We discuss the spontaneous breakdown of chiral symmetry in Quantum Chromodynamics by considering gluonic instanton configurations in the partition function. It is shown that in order to obtain nontrivial fermionic correlators in a two…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen

Recently there have been proposals to understand features of QCD such as confinement and chiral symmetry breaking by considering supersymmetric versions of the theory with various patterns of soft breaking. In this note we recall that with…

High Energy Physics - Phenomenology · Physics 2022-05-11 Michael Dine , Yan Yu

We select sum rules from which one can extract directly reliable limits on the size of the chiral symmetry breaking light quark condensate $<\bar\psi\psi>$. Combined results from the nucleon and $B^*-B$ mass-splitting sum rules give a…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. G. Dosch , S. Narison

The role of the quark condensate in low-energy QCD and its behaviour in nuclear matter are discussed. Partial restoration of chiral symmetry, as indicated by a reduction of the quark condensate in matter, could significantly alter the…

Nuclear Theory · Physics 2007-05-23 Michael C. Birse

We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in SU(2) Yang-Mills theory on the lattice. We observe that the chiral condensate grows linearly with the field strength B up to \sqrt{e B} = 3…

High Energy Physics - Lattice · Physics 2009-12-14 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a…

High Energy Physics - Theory · Physics 2009-04-30 A. Salvio , M. Shaposhnikov