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Two-point correlation functions of spin operators in the minimal models ${{\cal M}}_{p,p'}$ perturbed by the field $\Phi_{13}$ are studied in the framework of conformal perturbation theory. The first-order corrections for the structure…

High Energy Physics - Theory · Physics 2015-06-26 A. A. Belavin , V. A. Belavin , A. V. Litvinov , Y. P. Pugai , Al. B. Zamolodchikov

We identify a nontrivial yet tractable quantum field theory model with space/time anisotropic scale invariance, for which one can exactly compute certain four-point correlation functions and their decompositions via the operator-product…

High Energy Physics - Theory · Physics 2021-09-15 Hidehiko Shimada , Hirohiko Shimada

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

High Energy Physics - Theory · Physics 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

For every physical model defined on a generic graph or factor graph, the Bethe $M$-layer construction allows building a different model for which the Bethe approximation is exact in the large $M$ limit and it coincides with the original…

Disordered Systems and Neural Networks · Physics 2023-10-20 Ada Altieri , Maria Chiara Angelini , Carlo Lucibello , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa

The QCD-coupling is a necessary input in the computation of many observables, and the parametric error on input parameters can be a dominant source of uncertainty. The coupling can be extracted by comparing high order perturbative…

High Energy Physics - Lattice · Physics 2022-03-16 Leonardo Chimirri , Rainer Sommer

This paper presents a novel way to approximate a distribution governing a system of coupled particles with a product of independent distributions. The approach is an extension of mean field theory that allows the independent distributions…

Statistical Mechanics · Physics 2007-05-23 David H. Wolpert

We consider the nonequilibrium dynamics of an interacting spin-1/2 fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially…

Quantum Gases · Physics 2013-05-31 Stefan Kessler , Ian P. McCulloch , Florian Marquardt

We present calculations for spin $ 1/2 $ fermions at unitarity limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the ground-state energy for a system of 6, 10,14,18 and 20…

Strongly Correlated Electrons · Physics 2017-10-18 Faisal Etminan , Mohammad Mehdi Firoozabadi

Within the framework of the operator product expansion (OPE) and the renormalization group equation (RGE), we show that the temperature and chemical potential dependence of the zeroth moment of a spectral function (SF) is completely…

High Energy Physics - Phenomenology · Physics 2011-01-04 Suzhou HUANG , Marcello LISSIA

It has been shown recently that predictions from Mode-Coupling Theory for the glass transition of hard-spheres become increasingly bad when dimensionality increases, whereas replica theory predicts a correct scaling. Nevertheless if one…

Statistical Mechanics · Physics 2013-02-27 Hugo Jacquin , Francesco Zamponi

We extract the leading effective range corrections to the equation of state of the unitary Fermi gas from ab initio fixed-node quantum Monte Carlo (FNQMC) calculations in a periodic box using a density functional theory (DFT), and show them…

Quantum Gases · Physics 2012-11-16 Michael McNeil Forbes , Stefano Gandolfi , Alexandros Gezerlis

We study the one-loop effective action defined by the chiral overlap operator in the four-dimensional lattice formulation of chiral gauge theories by Grabowska and Kaplan. In the tree-level continuum limit, the left-handed component of the…

High Energy Physics - Lattice · Physics 2019-12-06 Hiroki Makino , Okuto Morikawa , Hiroshi Suzuki

We consider correlation functions containing the axial current of one light and one heavy quark in the static approximation as well as in full QCD, using the lattice regularization. Up to one-loop order of perturbation theory, we study the…

High Energy Physics - Lattice · Physics 2016-09-01 ALPHA Collaboration , Martin Kurth , Rainer Sommer

The method of the large mass expansion (LME) is investigated for selfenergy and vertex functions in two-loop order. It has the technical advantage that in many cases the expansion coefficients can be expressed analytically. As long as only…

High Energy Physics - Phenomenology · Physics 2009-09-25 J. Fleischer , A. V. Kotikov , O. L. Veretin

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using…

High Energy Physics - Theory · Physics 2016-12-05 Hiroshi Kunitomo , Yuji Okawa , Hiroki Sukeno , Tomoyuki Takezaki

We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory. First we do a large spin analysis for CFT data where we use results obtained from the usual and the…

High Energy Physics - Theory · Physics 2018-04-04 Parijat Dey , Apratim Kaviraj

We study the short-range correlation strength of three dimensional spin half dilute atomic Fermi gases with spin-orbit coupling. The interatomic interaction is modeled by the contact pseudopotential. In the high temperature limit, we derive…

Quantum Gases · Physics 2012-04-17 Zhenhua Yu

We consider a system of fermions with local interactions on a lattice (Hubbard model) and apply a novel extension of the Laplace's method (saddle-point approximation) for evaluating the corresponding partition function. There, we introduce…

Strongly Correlated Electrons · Physics 2022-05-05 Dmytro Makogon , Cristiane Morais Smith

We extend the known Universal One-Loop Effective Action (UOLEA) by all operators which involve scalars and fermions, not including contributions arising from open covariant derivatives. Our generic analytic expressions for the one-loop…

High Energy Physics - Phenomenology · Physics 2020-01-29 Michael Krämer , Benjamin Summ , Alexander Voigt
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