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A sign of topological order in a gapped one-dimensional quantum chain is the existence of edge zero modes. These occur in the Z_2-invariant Ising/Majorana chain, where they can be understood using free-fermion techniques. Here I discuss…

Strongly Correlated Electrons · Physics 2015-06-11 Paul Fendley

We devise a number-conserving scheme for the realization of Majorana Zero Modes in an interacting fermionic ladder coupled by Aharonov-Bohm cages. The latter provide an efficient mechanism to cancel single-particle hopping by destructive…

Quantum Gases · Physics 2023-02-01 Niklas Tausendpfund , Sebastian Diehl , Matteo Rizzi

Dynamical chiral symmetry breaking in the DLCQ method is investigated in detail using a chiral Yukawa model closely related to the Nambu-Jona-Lasinio model. By classically solving three constraints characteristic of the light-front…

High Energy Physics - Theory · Physics 2009-10-31 K. Itakura , S. Maedan

We investigate the effect of strange quark degrees of freedom on the formation of inhomogeneous chiral condensates in a three-flavor Nambu--Jona-Lasinio model in mean-field approximation. A Ginzburg-Landau study complemented by a stability…

High Energy Physics - Phenomenology · Physics 2020-02-11 Stefano Carignano , Michael Buballa

We propose a new non-Hermitian chiral random matrix model that describes single-flavor spin-one Cooper pairing of quarks. For three colors the model shows spontaneous breaking of color $\mathrm{SU}(3)_C$ and spin $\mathrm{SO}(3)_J$…

High Energy Physics - Theory · Physics 2020-07-01 Takuya Kanazawa

An NJL-type three-flavor quark model with a complete set of explicit chiral symmetry breaking terms is extended to include vector and axial vector effective interaction terms. The bosonized Lagrangian is written up to quadratic order in the…

High Energy Physics - Phenomenology · Physics 2018-04-23 Jorge Morais , Brigitte Hiller , Alexander A. Osipov

In the presence of nonzero strange quark mass $m_s$, we investigate color neutrality in the $K^0$ condensed phase of color-flavor locked quark matter. By treating the $m_s$ effects on both kaon condensate and Fermi-surface phenomenon…

High Energy Physics - Phenomenology · Physics 2017-03-07 Xiao-Bing Zhang

We address the problem of the bosonization of finite fermionic systems with two different approaches. First we work in the path integral formalism, showing how a truly bosonic effective action can be derived from a generic fermionic one…

Nuclear Theory · Physics 2007-05-23 Maria B. Barbaro , Maria R. Quaglia

Nucleon structure and the origin and nature of the nuclear force are investigated in the context of a QCD-based effective field theory and the path-integral method of hadronization. We start from a microscopic model of quarks and diquarks…

Nuclear Theory · Physics 2009-11-07 L. J. Abu-Raddad , A. Hosaka , D. Ebert , H. Toki

In this paper, we discuss a decoupling of the Goldstone bosons from highly excited hadrons in relation to the restoration of chiral symmetry in such hadrons. We use a generalised Nambu-Jona-Lasinio model with the interaction between quarks…

High Energy Physics - Phenomenology · Physics 2009-11-11 L. Ya. Glozman , A. V. Nefediev

We study chiral phase transition and confinement of matter fields in (2+1)-dimensional U(1) gauge theory of massless Dirac fermions and scalar bosons. The vanishing scalar boson mass, $r=0$, defines a quantum critical point between the…

Strongly Correlated Electrons · Physics 2010-09-07 Guo-Zhu Liu , Wei Li , Geng Cheng

We consider a general framework to study holographically the dynamics of fundamental quarks in a confining gauge theory. Flavors are introduced by placing a set of (coincident) branes and antibranes on a background dual to a confining color…

High Energy Physics - Theory · Physics 2008-11-26 Roberto Casero , Elias Kiritsis , Angel Paredes

We start with the relation between the chiral symmetry breaking and gauge field topology. New lattice result further enhance the notion of Zero Mode Zone, a very narrow strip of states with quasizero Dirac eigenvalues. Then we move to the…

Nuclear Theory · Physics 2015-06-18 Edward Shuryak

A phase transition into the condensed state of fermions hybridized with immobile bosons is examined beyond the ordinary mean-field approximation (MFA) in two and three dimensions. The hybridization interaction does not provide the Cooper…

Strongly Correlated Electrons · Physics 2015-06-24 A. S. Alexandrov

In the framework of an approach to bosonization based on the use of fermionic composites as fundamental variables, a quadratic action in even Grassmann variables with the quantum numbers of the pions has been constructed. It includes the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sergio Caracciolo , Fabrizio Palumbo

Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we present a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using…

High Energy Physics - Theory · Physics 2007-05-23 T. Matsuki , M. Shiotani , R. W. Haymaker

We summarise recent results on the spectrum of ground-state and excited baryons and their form factors in the framework of functional methods. As an improvement upon similar approaches we explicitly take into account the underlying…

High Energy Physics - Phenomenology · Physics 2017-03-08 Christian S. Fischer

We calculate the phase diagram for dilute mixtures of bosons and fermions at zero temperature. The linear stability conditions are derived and related to the effective boson-induced interaction between the fermions. We show that in…

Condensed Matter · Physics 2009-10-31 L. Viverit , C. J. Pethick , H. Smith

The phase structure of two-flavor QCD is investigated at real isospin and imaginary quark chemical potentials by using the Polyakov-loop extended Nambu--Jona-Lasinio model. In the region, parity symmetry is spontaneously broken by the pion…

High Energy Physics - Phenomenology · Physics 2013-05-30 Hiroaki Kouno , Mizuho Kishikawa , Takahiro Sasaki , Yuji Sakai , Masanobu Yahiro

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

Strongly Correlated Electrons · Physics 2020-09-16 Sebastian Mantilla , Inti Sodemann