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We construct a model in which four dimensional chiral fermions arise on the boundaries of a five dimensional lattice with free boundary conditions in the fifth direction. The physical content is similar to Kaplan's model of domain wall…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We present a general scheme for extracting effective degrees of freedom from an underlying fundamental Lagrangian, through a series of well-defined transformations in the functional integral of the cut-off theory. This is done by…

High Energy Physics - Phenomenology · Physics 2009-10-22 P. H. Damgaard , H. B. Nielsen , R. Sollacher

In these lectures I explain how chiral symmetry of continuum QCD naturally leads to a class of lattice regularisations known as twisted mass QCD (tmQCD). As compared to standard Wilson quarks, its advantages are the absence of unphysical…

High Energy Physics - Lattice · Physics 2017-08-23 Stefan Sint

Chiral defect fermions in the background of an external, $2n$ dimensional gauge field are considered. Assuming first a finite extra dimension, we calculate the axial anomaly in a vector-like, gauge invariant model for arbitrary $n$, and the…

High Energy Physics - Lattice · Physics 2009-10-22 Yigal Shamir

We calculate the electron self-energy in a magnetized QED plasma to the leading perturbative order in the coupling constant and to the linear order in an external magnetic field. We find that the chiral asymmetry of the normal ground state…

High Energy Physics - Phenomenology · Physics 2013-07-31 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , Xinyang Wang

We study the Regge regime of QCD as a special regime of lattice gauge theory on an asymmetric lattice. This lattice has a spacing $a_0 $ in the longitudinal direction and a spacing $a_t $ in the transversal direction. The limit…

High Energy Physics - Theory · Physics 2011-07-19 I. Ya. Aref'eva

We demonstrate that QCD gluon amplitudes can be used to construct a Lagrangian for gravity. This procedure makes use of perturbative `squaring' relations between gravity and gauge theory that follow from string theory. We explicitly carry…

High Energy Physics - Theory · Physics 2009-10-31 Z. Bern , A. K. Grant

We derive Ginsparg-Wilson relation for a lattice chiral symmetry in theories with self-interacting fermions. Auxiliary scalar and pseudo-scalar fields are introduced on a coarse lattice to give an effective description of the fermionic…

High Energy Physics - Lattice · Physics 2016-09-01 Yuji Igarashi , Hiroto So , Naoya Ukita

We give a pedagogical review of implications of chiral symmetry in QCD. First, we briefly discuss classical textbook subjects such as the axial anomaly, spontaneous breaking of the flavor-nonsinglet chiral symmetry, formation of light…

High Energy Physics - Phenomenology · Physics 2016-11-23 A. V. Smilga

In QCD with two massless quarks, the chiral phase transition is plausibly in the same universality class as the classical O(4) magnet. To test this hypothesis, critical exponents characterizing the behaviour of universal quantities near the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Krishna Rajagopal

We discuss the problem of consistent description of higher spin massive fields coupled to external gravity. As an example we consider massive field of spin 2 in arbitrary gravitational field. Consistency requires the theory to have the same…

High Energy Physics - Theory · Physics 2017-08-23 I. L. Buchbinder , V. D. Pershin

There is a growing amount of evidence that QCD (and four-dimensional gauge theories in general) possess a hidden symmetry which does not exhibit itself as a symmetry of classical Lagrangians but is only revealed on the quantum level. In…

High Energy Physics - Theory · Physics 2015-05-20 G. P. Korchemsky

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller…

Condensed Matter · Physics 2016-08-31 Mark Burgess , Margaret Carrington

We rederive the results of our companion paper, for matching spacetime and internal signature, by applying in detail the Dirac algorithm to the Palatini action. While the constraint set of the Palatini action contains second class…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn

A large symmetry group is perhaps experimentally observed in excited hadrons which includes the chiral group U(2)_L x U(2)_R as a subgroup. To possess this large symmetry a dynamical model for excited hadrons, presumably a string model,…

High Energy Physics - Phenomenology · Physics 2008-11-26 L. Ya. Glozman , A. V. Nefediev

The standard model ascribes distinct properties to different chiralities of fermions. We show how to incorporate this aspect in an extended spacetime-property framework involving two different attributes using a generalized metric which…

High Energy Physics - Theory · Physics 2015-04-08 Robert Delbourgo , Paul D. Stack

Recently, gravitational gauge theories with torsion have been discussed by an increasing number of authors from a classical as well as from a quantum field theoretical point of view. The Einstein-Cartan(-Sciama-Kibble) Lagrangian has been…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Peter Baekler , Friedrich W. Hehl

Starting from low energy effective chiral Lagrangian with gauged Wess-Zumino Witten term, we have derived a hydrodynamic theory for chiral superfluid. It is a non-abelian hydrodynamics at zero temperature with only superfluid components.…

High Energy Physics - Phenomenology · Physics 2013-05-30 Shu Lin

A cubic algebraic equation for the effective parametrizations of the standard gravitational Lagrangian has been obtained without applying any variational principle.It was suggested that such an equation may find application in gravity…

High Energy Physics - Theory · Physics 2014-11-18 Bogdan G. Dimitrov

We derive the O(p6) Chiral Perturbation Theory Lagrangian in the massless quark limit for a class of gravity dual models of Quantum Chromodynamics with the chiral symmetry broken through boundary conditions. The odd O(p6) couplings are…

High Energy Physics - Phenomenology · Physics 2012-10-05 J. J. Sanz-Cillero