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We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz with a classical field and variational masses. We go beyond the Hartree approximation by including the two-loop contribution, the sunset…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Baacke , S. Michalski

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

We compute spectral densities of momentum and R-charge correlators in thermal $\N=4$ Yang Mills at strong coupling using the AdS/CFT correspondence. For $\omega \sim T$ and smaller, the spectral density differs markedly from perturbation…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Teaney

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai

We investigate the deviation of the level-correlation functions from the universal form for the chiral symmetric classes. Using the supersymmetric nonlinear sigma model we formulate the perturbation theory. The large energy behavior is…

Disordered Systems and Neural Networks · Physics 2009-10-31 Kazutaka Takahashi , Shinji Iida

Simple group-theoretical arguments are used to demonstrated that in the high temperature (chirally restored) phase of QCD with N massless flavours, all n-point correlation functions of quark bilinears are invariant under U(1) axial…

High Energy Physics - Phenomenology · Physics 2009-10-28 Michael C. Birse , Thomas D. Cohen , Judith A. McGovern

Many compactifications of higher-dimensional supersymmetric theories have approximate vacuum degeneracy. The associated moduli fields are stabilized by non-perturbative effects which break supersymmetry. We show that at finite temperature…

High Energy Physics - Theory · Physics 2009-11-10 Wilfried Buchmuller , Koichi Hamaguchi , Oleg Lebedev , Michael Ratz

It was recently conjectured that, in SU(3) gauge theories with fundamental quarks, valence spontaneous chiral symmetry breaking is equivalent to condensation of local dynamical chirality and appearance of chiral polarization scale…

High Energy Physics - Lattice · Physics 2015-06-19 Andrei Alexandru , Ivan Horváth

We investigate the effect of a uniform background magnetic field on the chiral symmetry breaking in SU(2) Yang-Mills theory on the lattice. We observe that the chiral condensate grows linearly with the field strength B up to \sqrt{e B} = 3…

High Energy Physics - Lattice · Physics 2009-12-14 P. V. Buividovich , M. N. Chernodub , E. V. Luschevskaya , M. I. Polikarpov

The temperature dependence of commutator anomalies is discussed on the explicit example of particular (anyonic) field operators in two dimensions. The correlation functions obtained show that effects of the non-zero temperature might…

High Energy Physics - Theory · Physics 2015-06-25 Nevena Ilieva

The light-quark correlator in the axial-vector channel is used, in conjunction with finite energy QCD sum rules at finite temperature, in order to (a) establish a relation between chiral-symmetry restoration and deconfinement, and (b)…

High Energy Physics - Phenomenology · Physics 2013-05-30 C. A. Dominguez , M. Loewe , Y. Zhang

We evaluate the chiral condensate and Polyakov loop in two-dimensional QED with a fermion of an arbitrary mass ($m$). We find discontinuous $m$ dependence in the chiral condensate and anomalous temperature dependence in Polyakov loops when…

High Energy Physics - Theory · Physics 2009-10-30 Yutaka Hosotani , Ramon Rodriguez

Rotational and deformation dependence of isovector and isoscalar pairing correlations at finite temperature are studied in an exactly solvable cranked deformed shell model Hamiltonian. It is shown that isovector pairing correlations, as…

Nuclear Theory · Physics 2009-11-11 J. A. Sheikh , R. Palit , S. Frauendorf

We consider the finite temperature Casimir force acting on two parallel plates in a closed cylinder with the same cross section of arbitrary shape in the presence of extra dimensions. Dirichlet boundary conditions are imposed on one plate…

High Energy Physics - Theory · Physics 2017-08-23 L. P. Teo , K. Kirsten

We put forward a continuum approach for computing finite temperature correlation functions in Yang-Mills theory. This is done in a functional renormalisation group setting which allows for the construction of purely thermal RG-flows. This…

High Energy Physics - Phenomenology · Physics 2011-12-23 Leonard Fister , Jan M. Pawlowski

The growing correlation length observed in supercooled liquids as their temperature is lowered has been studied with the aid of a single occupancy cell model. This model becomes more accurate as the density of the system is increased. One…

Statistical Mechanics · Physics 2013-04-17 Christopher J. Fullerton , M. A. Moore

The action of the 2d O(3) non-linear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action…

High Energy Physics - Lattice · Physics 2018-12-26 B. Alles , O. Borisenko , Alessandro Papa

Simulations results are reported for critical point of the two-component $\phi^4$ field theory. The correlation length exponent is measured to high precision with the result $\nu=0.6717(3)$. This value is in agreement with recent simulation…

Statistical Mechanics · Physics 2009-11-11 Evgeni Burovski , Jonathan Machta , Nikolay Prokof'ev , Boris Svistunov

Spontaneous symmetry breaking can persist at all temperatures in certain biconical $\mathrm{O}(N)\times \mathbb{Z}_2$ vector models when the underlying field theories are ultraviolet complete. So far, the existence of such theories has been…

High Energy Physics - Theory · Physics 2025-01-29 Bilal Hawashin , Junchen Rong , Michael M. Scherer

We study the rate of correlation decay in the two-dimensional random-field Ising model at weak field strength $\varepsilon$. We combine elements of the recent proof of exponential decay of correlations with a quantitative refinement of a…

Probability · Mathematics 2022-05-18 Yoav Bar-Nir
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