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We introduce models of one-dimensional $n(\geq3)$-body problems that undergo phase transition from a continuous scale-invariant phase to a discrete scale-invariant phase. In this paper, we focus on identical spinless particles that interact…

Quantum Physics · Physics 2022-03-23 Satoshi Ohya

We study dual strong coupling description of integrability-preserving deformation of the $O(N)$ sigma model. Dual theory is described by a coupled theory of Dirac fermions with four-fermion interaction and bosonic fields with exponential…

High Energy Physics - Theory · Physics 2018-12-05 A. V. Litvinov , L. A. Spodyneiko

We have performed numerical simulations of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions. The fermions are discretized with the tadpole-improved clover action. Our simulations are done on lattices of length…

High Energy Physics - Lattice · Physics 2009-02-20 Thomas DeGrand , Yigal Shamir , Benjamin Svetitsky

We study the dynamics of the chiral phase transition in a linear quark-meson $\sigma$ model using a novel approach based on semiclassical wave-particle duality. The quarks are treated as test particles in a Monte-Carlo simulation of elastic…

Nuclear Theory · Physics 2018-02-20 C. Wesp , H. van Hees , A. Meistrenko , C. Greiner

We determine the phase diagram of complete asymptotically free SU($N_c$) gauge theories featuring $N_s$ complex scalars and $N_f$ Dirac quarks transforming according to the fundamental representation of the gauge group. The analysis is…

High Energy Physics - Phenomenology · Physics 2018-03-28 Frederik F. Hansen , Tadeusz Janowski , Kasper Langaeble , Robert B. Mann , Francesco Sannino , Tom G. Steele , Zhi-Wei Wang

It is established by numerical means that the continuum large N principal chiral model in two dimensions has a phase transition in a smoothed two point function at a critical distance of the order of the correlation length.

High Energy Physics - Theory · Physics 2008-11-26 R. Narayanan , H. Neuberger , E. Vicari

The frequently discussed strongly interacting gauge theory with a fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group is investigated \cite{Fodor:2012ty}. The chiral condensate and the…

High Energy Physics - Lattice · Physics 2012-11-28 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

We derive a worldline path integral representation for the effective action of a multiplet of Dirac fermions coupled to the most general set of matrix-valued scalar, pseudoscalar, vector, axial vector and antisymmetric tensor background…

High Energy Physics - Theory · Physics 2009-10-28 Eric D'Hoker , Darius G. Gagne

Complementarity - the absence of a phase boundary separating the Higgs and confinement phases of a gauge theory - can be violated by the addition of chiral fermions. We utilize chiral symmetry violating fermion correlators such as $ \langle…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stephen D. H. Hsu

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

We study the Thirring model in three spacetime dimensions, by means of Monte Carlo simulation on lattice sizes 8^3 and 12^3, for numbers of fermion flavors N_f=2,4,6. For sufficiently strong interaction strength, we find that spontaneous…

High Energy Physics - Lattice · Physics 2009-10-28 Luigi Del Debbio , Simon Hands

We study QCD with two staggered Dirac fermions both in the fundamental (QCD) and the adjoint representation (aQCD) near the chiral transition. The aim is to find the universality class of the chiral transition and to verify Goldstone…

High Energy Physics - Lattice · Physics 2007-05-23 J. Engels , S. Holtmann , T. Schulze

QCD with gauge group $SU(N_c)$ flows to an interacting conformal fixed point in three spacetime dimensions when the number of four-component Dirac fermions $N_f \gg N_c$. We study the stability of this fixed point via the…

High Energy Physics - Theory · Physics 2016-09-28 Hart Goldman , Michael Mulligan

We investigate the chiral phase transition at finite temperature (T) in colour SU(Nc=3) Quantum Chromodynamics (QCD) with six species of fermions (Nf=6) in the fundamental representation by using lattice QCD with improved staggered…

High Energy Physics - Lattice · Physics 2012-03-30 Kohtaroh Miura , Maria Paola Lombardo , Elisabetta Pallante

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two lattice matching technique recently advocated and exploited in [arXiv:0907.0919], we measure…

High Energy Physics - Phenomenology · Physics 2011-03-18 Simon Catterall , Luigi Del Debbio , Joel Giedt , Liam Keegan

We consider a model of Dirac fermions in $2+1$ dimensions with dynamically generated, anticommuting SO(3) N\'eel and Z$_2$ Kekul\'e mass terms that permits sign-free quantum Monte Carlo simulations. The phase diagram is obtained from…

Strongly Correlated Electrons · Physics 2017-11-15 Toshihiro Sato , Martin Hohenadler , Fakher F. Assaad

We examine a model of reduced staggered fermions in three dimensions interacting through an $SO(4)$ invariant four fermion interaction. The model is similar to that considered in a recent paper by Ayyer and Chandrasekharan…

High Energy Physics - Lattice · Physics 2016-02-17 Simon Catterall

We have computed Wilsonian effective action in a simple model containing scalar field with quartic self-coupling which interacts via Yukawa coupling with a Dirac fermion. The model is invariant under a chiral parity operation, which can be…

High Energy Physics - Phenomenology · Physics 2015-10-09 Tomasz Krajewski , Zygmunt Lalak

We report on studies of the chiral properties of dynamical domain wall fermions combined with the DBW2 gauge action for different gauge couplings and fermion masses. For quenched theories, the DBW2 action gives a residual chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-15 L. Levkova , R. Mawhinney

We calculate the ultraviolet to infrared evolution and analyze possible types of infrared behavior for several asymptotically free chiral gauge theories with gauge group SU($N$) and massless chiral fermions transforming according to a…

High Energy Physics - Theory · Physics 2015-02-05 Yan-Liang Shi , Robert Shrock