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Scalar products and density matrix elements of closed-shell pair geminal wavefunctions are evaluated directly in terms of the pair amplitudes, resulting in an analogue of Wick's theorem for fermions or bosons. This expression is in general…

Chemical Physics · Physics 2022-06-15 Jean-David Moisset , Charles-Émile Fecteau , Paul A. Johnson

We present a strategy to study QCD non-perturbatively on the lattice at very high temperatures. This strategy exploits a non-perturbative, finite-volume, definition of the strong coupling constant to renormalize the theory. As a first…

High Energy Physics - Lattice · Physics 2022-12-06 Davide Laudicina , Mattia Dalla Brida , Leonardo Giusti , Tim Harris , Michele Pepe

We present a unique theoretical description of the physics of the spherically trapped $N$-atom degenerate Fermi gas (DFG) at zero temperature based on an ordinary Schr\"{o}dinger equation with a microscopic, two body interaction potential.…

Other Condensed Matter · Physics 2009-11-11 Seth T. Rittenhouse , M. J. Cavagnero , Javier von Stecher , Chris H. Greene

We develop a general numerical method to study the zero temperature properties of strongly correlated electron models on large lattices. The technique, which resembles Green's Function Monte Carlo, projects the ground state component from a…

Strongly Correlated Electrons · Physics 2009-10-31 C. Stephen Hellberg , Efstratios Manousakis

The (discrete) Gross-Neveu model is studied in a lattice realization with an N-component Majorana Wilson fermion field. It has an internal O(N) symmetry in addition to the euclidean lattice symmetries. The discrete chiral symmetry for…

High Energy Physics - Lattice · Physics 2008-11-26 Ulli Wolff

We present new results on the Gross-Neveu model at finite temperature and at next-to-leading order in the 1/N expansion. In particular, a new expression is obtained for the effective potential which is explicitly invariant under…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangians. By means of one parameter, a cut off in the momentum of the loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. Oller , E. Oset

We present results from the first lattice simulations of three dimensional non-compact quantum electrodynamics (QED3) with N_f four-component fermion flavors coupled to a weak Z(2) chirally invariant four-fermi interaction. Results with…

High Energy Physics - Lattice · Physics 2010-07-21 Wesley Armour , John B. Kogut , Costas Strouthos

We study, for the first time, the interplay between colour-confining and chiral symmetry-breaking dynamics in gauge-fermion systems with a general number of flavours and colours. Specifically, we work out the flavour dependence of the…

High Energy Physics - Theory · Physics 2024-12-18 Florian Goertz , Álvaro Pastor-Gutiérrez , Jan M. Pawlowski

Minimally doubled fermion proposed by Creutz and Borici is a promising chiral fermion formulation on lattice. In this work, we present excited state mass spectroscopy for the meson bound states in Gross-Neveu model using Borici-Creutz…

High Energy Physics - Lattice · Physics 2017-04-05 Jishnu Goswami , Dipankar Chakrabarti , Subhasish Basak

In this paper we derive the general expression of a one-loop effective potential of the nonintegrable phases of Wilson lines for an SU(N) gauge theory with a massless adjoint fermion defined on the spactime manifold $R^{1,d-3}\times T^2$ at…

High Energy Physics - Theory · Physics 2008-11-26 Chung-Chieh Lee , Choon-Lin Ho

We study the thermodynamics of the 2+1 dimensional Gross-Neveu model in the presence of a chemical potential by introducing a representation for the canonical partition function which encodes both real and imaginary chemical potential…

High Energy Physics - Theory · Physics 2009-10-31 H. R. Christiansen , A. C. Petkou , M. B. Silva Neto , N. D. Vlachos

We employ the domain wall fermion (DWF) formulation of the Thirring model on a lattice in 2+1+1 dimensions and perform $N=1$ flavor Monte Carlo simulations. At a critical interaction strength the model features a spontaneous…

High Energy Physics - Lattice · Physics 2023-01-05 Simon Hands , Johann Ostmeyer

We apply the OPE inversion formula on thermal two-point functions of fermions to obtain thermal one-point function of fermion bi-linears appearing in the corresponding OPE. We primarily focus on the OPE channel which contains the stress…

High Energy Physics - Theory · Physics 2023-10-24 Justin R. David , Srijan Kumar

We study the correlations between quark-antiquark pairs in different quantum number channels in a deconfined plasma by using an effective model of QCD. Using the three flavour PNJL model, the finite temperature spectral functions for…

Nuclear Theory · Physics 2010-02-01 Paramita Deb , Abhijit Bhattacharyya , Saumen Datta , Sanjay K. Ghosh

Dynamical symmetry breaking in three-dimensional QED with N fermion flavours is considered at finite temperature, in the large $N$ approximation. Using an approximate treatment of the Schwinger-Dyson equation for the fermion self-energy, we…

High Energy Physics - Phenomenology · Physics 2016-09-01 I. J. R. Aitchison , N. Dorey , M. Klein-Kreisler , N. E. Mavromatos

We study the two-dimensional lattice Gross--Neveu model with Wilson twisted mass fermions in order to explore the phase structure in this setup. In particular, we investigate the behaviour of the phase transitions found earlier with…

High Energy Physics - Lattice · Physics 2009-11-11 Kei-ichi Nagai , Karl Jansen

In 2+1 dimensions, for low momenta, using dimensional renormalization we study the effect of a Chern-Simons field on the perturbative expansion of fermions self interacting through a Gross Neveu coupling. For the case of just one fermion…

High Energy Physics - Theory · Physics 2009-10-31 V. S. Alves , M. Gomes , S. V. L. Pinheiro , A. J. da Silva

As a first step to analyze the electromagnetic meson production reactions in the nucleon resonance region, the parameters of the hadronic interactions of a dynamical coupled-channel model, developed in {\it Physics Reports 439, 193 (2007)},…

Nuclear Theory · Physics 2008-11-26 B. Julia-Diaz , T. -S. H. Lee , A. Matsuyama , T. Sato

We study the phase diagram of the $(1+1)$-dimensional Gross-Neveu model with both $g_x^2(\bar{\psi}\psi)^2$ and $g_y^2(\bar{\psi}i\gamma_5\psi)^2$ interaction terms on a spatial lattice. The continuous chiral symmetry, which is present in…

High Energy Physics - Theory · Physics 2022-06-22 Gertian Roose , Jutho Haegeman , Karel Van Acoleyen , Laurens Vanderstraeten , Nick Bultinck