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We study the underlying topology of gauge fields in 2+1 flavor QCD with domain wall fermions on lattices of size $32^3\times 8$, at and immediately above the chiral crossover transition. Using valence overlap fermions with exact index…

High Energy Physics - Lattice · Physics 2019-06-14 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

Three dimensional, $U(N)$ symmetric, field theory with fermion matter coupled to a topological Chern--Simons term, in the large $N$ limit is analyzed in details. We determine the conditions for the existence of a massless conformal…

High Energy Physics - Theory · Physics 2019-10-15 Moshe Moshe , Jean Zinn-Justin

We consider a Dirac field in 2+1 dimensions with a domain wall like defect in its mass, minimally coupled to a dynamical Abelian vector field. The mass of the fermionic field is assumed to have just one linear domain wall, which is…

High Energy Physics - Theory · Physics 2009-11-07 L. Da Rold , C. D. Fosco , A. Lopez

We investigate the interactions among the pion, vector mesons and external gauge fields in the holographic dual of massless QCD proposed in a previous paper, hep-th/0412141, on the basis of probe D8-branes embedded in a D4-brane background…

High Energy Physics - Theory · Physics 2008-11-26 Tadakatsu Sakai , Shigeki Sugimoto

We extend work by Callan and Harvey and show how the phase of the chiral fermion determinant in four dimensions is reproduced by zeromodes bound to a domain wall in five dimensions. The analysis could shed light on the applicability of…

High Energy Physics - Theory · Physics 2019-08-15 David B. Kaplan , Martin Schmaltz

We argue directly from Witten's analysis of large $N_c$ baryons that the structure of the $s$-wave low-spin baryon states in QCD becomes spin-independent as $N_c\rightarrow\infty$. This property leads to $SU(6)$-like behavior of static…

High Energy Physics - Phenomenology · Physics 2009-09-11 Chris Carone , Howard Georgi , Sam Osofsky

Massless fermions on scalar domain walls are considered. Two walls are established, corresponding to 5-dimensional static spacetime asymptotically Anti de-Sitter, differentiated by the symmetry around the wall, and in each case massless…

High Energy Physics - Theory · Physics 2019-08-05 Rommel Guerrero , R. Omar Rodriguez , Francisco Carreras

The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that in the limit of infinite separation in this…

High Energy Physics - Lattice · Physics 2009-10-31 P. Chen , N. Christ , G. Fleming , A. Kaehler , C. Malureanu , R. Mawhinney , C. Sui , P. Vranas , Y. Zhestkov

The deconfinement phase transition is studied in the ensemble canonical with respect to triality. Since this ensemble implies a projection to the zero triality sector of the theory we introduce a quantity which is insensitive to $Z(N_c)$…

High Energy Physics - Lattice · Physics 2007-05-23 O. Borisenko , M. Faber , G. Zinovjev , K. Petrov

The 1/N_c expansion provides a theoretical method for analyzing the spin-flavor symmetry properties of baryons in QCD that is quantitative, systematic and predictive. An exact spin-flavor symmetry exists for large-N_c baryons, whereas for…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Jenkins

The large $N$ analysis of QCD states that the potential for the $\eta'$ meson develops cusps at $\eta' = \pi / N_f$, $3 \pi /N_f$, $\cdots$, with $N_f$ the number of flavors. Furthermore, the recent discussion of generalized anomalies tells…

High Energy Physics - Theory · Physics 2025-08-29 Ryuichiro Kitano , Ryutaro Matsudo , Lukas Treuer

A $U(1)$ gauge theory coupled to a Wilson fermion on a $2+1$ dimensional cubic lattice is known to exhibit Chern insulator like topological transitions as a function of the the ratio $M/R$ where $M$ is the fermion mass and $R$ is the Wilson…

High Energy Physics - Theory · Physics 2020-12-30 Srimoyee Sen

The 1/N_c expansion of QCD with N_c=3 has been successful in explaining a wide variety of QCD phenomenology. Here I focus on the contracted spin-flavor symmetry of baryons in the large-N_c limit and deviations from spin-flavor symmetry due…

High Energy Physics - Phenomenology · Physics 2010-05-27 Elizabeth E. Jenkins

The baryon axial vector current is computed at one-loop order in heavy baryon chiral perturbation theory in the large-N_c limit, where N_c is the number of colors. Loop graphs with octet and decuplet intermediate states cancel to various…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ruben Flores-Mendieta , Christoph P. Hofmann

Quark-meson duality for two-point functions of vector and axial-vector QCD currents is investigated in the large-Nc approximation. We find that the joint constraints of duality and chiral symmetry imply degeneracy of excited vector and…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. R. Beane

In this contribution, baryon axial-vector couplings are studied in the framework of the combined 1/Nc and chiral expansions. This framework is implemented on the basis of the emergent spin-flavor symmetry in baryons at large Nc and HBChPT,…

Nuclear Theory · Physics 2013-03-12 A. Calle Cordon , J. L. Goity

We derive the effective Lagrangian for mesons in lattice gauge theory with domain-wall fermions in the strong-coupling and large-N_c limits. We use the formalism of supergroups to deal with the Pauli-Villars fields, needed to regulate the…

High Energy Physics - Lattice · Physics 2009-11-07 Federico Berruto , Richard C. Brower , Benjamin Svetitsky

The QCD phase diagram at densities relevant to neutron stars remains elusive, mainly due to the fermion-sign problem. At the same time, a plethora of possible phases has been predicted in models. Meanwhile $G_2$-QCD, for which the $SU(3)$…

High Energy Physics - Lattice · Physics 2014-03-26 Björn H. Wellegehausen , Axel Maas , Andreas Wipf , Lorenz von Smekal

We study the domain walls in hot $4$-D $SU(N)$ super Yang-Mills theory and QCD(adj), with $n_f$ Weyl flavors. We find that the $k$-wall worldvolume theory is $2$-D QCD with gauge group $SU(N-k)\times SU(k) \times U(1)$ and Dirac fermions…

High Energy Physics - Theory · Physics 2019-06-26 Mohamed M. Anber , Erich Poppitz

The leading, planar diagrams of the $1/N_c$ expansion and the usual string description suggest that quarks propagate on the boundary of a two-dimensional world surface. We restrict the quarks to the boundary of the world surface by giving…

High Energy Physics - Theory · Physics 2009-10-22 Ravit Efraty
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