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Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the Born-Oppenheimer approximation we show that the motion of the condensate satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The Galilean…

Condensed Matter · Physics 2015-06-25 Ping Ao , David J. Thouless , X. -M. Zhu

We determine the volume and mass dependence of scalar and pseudoscalar two-point functions in N_f-flavour QCD, in the presence of an isospin chemical potential and at fixed gauge-field topology. We obtain these results at second order in…

High Energy Physics - Lattice · Physics 2008-12-25 G. Akemann , F. Basile , L. Lellouch

We prove that for any reductive group $G$ of adjoint type cuspidal automorphic twisted D-modules have non-vanishing quantum Whittaker coefficients. The argument provides a microlocal interpretation of quantum Whittaker coefficients for any…

Representation Theory · Mathematics 2025-08-27 Ekaterina Bogdanova

We analyze solutions to loop-truncated Schwinger-Dyson equations in massless N=2 and N=4 Wess-Zumino matrix quantum mechanics at finite temperature, where conventional perturbation theory breaks down due to IR divergences. We find a rather…

High Energy Physics - Theory · Physics 2013-04-09 Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

We present the construction of a gravitational action including an infinite series of higher derivative terms. The outcome is a classically consistent completion of a well-studied quadratic curvature theory. The closed form for the full…

General Relativity and Quantum Cosmology · Physics 2018-10-12 Brage Gording , Angnis Schmidt-May

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4, 48^4, 56^4$…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Nakajima , Sadataka Furui

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , C. Roiesnel

We study chiral symmetry breaking in QCD, using as ingredients in the quark gap equation recent lattice results for the gluon and ghost propagators. The Ansatz employed for the quark-gluon vertex is purely non-Abelian, introducing a crucial…

High Energy Physics - Phenomenology · Physics 2011-07-28 Arlene C. Aguilar

We discuss some properties of recently proposed models of a ghost-free gravity. For this purpose we study solutions of linearized gravitational equations in the framework of such a theory. We mainly focus on the version of the ghost-free…

High Energy Physics - Theory · Physics 2015-05-22 Valeri P. Frolov , Andrei Zelnikov , Tiberio de Paula Netto

This article aims to transform the infinite-order Lagrangian density for ghost-free infinite-derivative linearized gravity into non-local. To achieve it, we use the theory of generalized functions and the Fourier transform in the space of…

General Relativity and Quantum Cosmology · Physics 2022-03-30 Carlos Heredia , Ivan Kolář , Josep Llosa , Francisco José Maldonado Torralba , Anupam Mazumdar

Poincar\'e gauge theories provide an approach to gravity based on the gauging of the Poincar\'e group, whose homogeneous part generates curvature while the translational sector gives rise to torsion. In this note we revisit the stability of…

General Relativity and Quantum Cosmology · Physics 2020-12-16 Jose Beltrán Jiménez , Francisco José Maldonado Torralba

Using twisted commutation relations we show that the quantum sinh-Gordon model on noncommutative space is integrable, and compute the exact two-particle scattering matrix. The model possesses a strong-weak duality, just like its commutative…

High Energy Physics - Theory · Physics 2008-11-26 Sachindeo Vaidya

We compute the strong coupling constant of Landau gauge QCD in the full complex momentum plane, both directly and via spectral reconstruction. In particular, we consider the Taylor coupling given by the product of ghost and gluon dressing…

High Energy Physics - Phenomenology · Physics 2023-04-28 Jan Horak , Jan M. Pawlowski , Jonas Turnwald , Julian M. Urban , Nicolas Wink , Savvas Zafeiropoulos

In this paper we study perturbatively an extension of the Stelle higher derivative gravity involving an infinite number of derivative terms. We know that the usual quadratic action is renormalizable but is not unitary because of the…

High Energy Physics - Theory · Physics 2012-02-02 Leonardo Modesto

Using SU(2) lattice QCD in two dimensions, we study diagonal and off-diagonal gluon propagators in the maximally Abelian gauge (MAG) with U(1)$_3$ Landau gauge fixing. These propagators are investigated both in momentum space and coordinate…

High Energy Physics - Lattice · Physics 2014-11-11 Shinya Gongyo

On the occasion of the 70th birthday of Prof. Adriano Di Giacomo we report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of a non-symmetric MOM-scheme ghost-gluon vertex in quenched and full…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller

We study the light-front Schwinger model at finite temperature following the recent proposal in \cite{alves}. We show that the calculations are carried out efficiently by working with the full propagator for the fermion, which also avoids…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Xingxiang Zhou

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

High Energy Physics - Lattice · Physics 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

The quantization of non-Abelian gauge theories is known to be plagued by Gribov copies. Typical examples are the copies related to zero modes of the Faddeev-Popov operator, which give rise to singularities in the ghost propagator. In this…

High Energy Physics - Theory · Physics 2013-02-01 M. A. L. Capri , D. Dudal , M. S. Guimaraes , L. F. Palhares , S. P. Sorella

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we…

High Energy Physics - Phenomenology · Physics 2018-03-20 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff
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