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We discuss the formulation of classical field theoretical models on $n$-dimensional noncommutative space-time defined by a generic associative star product. A simple procedure for deriving conservation laws is presented and applied to field…

High Energy Physics - Theory · Physics 2018-12-31 Daniel N. Blaschke , Francois Gieres , Stefan Hohenegger , Manfred Schweda , Michael Wohlgenannt

By following the spirit of arXiv:1003.5665, we define a new Tolman temperature of Kodama observer directly related to its acceleration. We give a generalized integral form of thermodynamics relation on virtual sphere of constant $r$ in…

High Energy Physics - Theory · Physics 2010-09-21 Yi-Xin Chen , Jian-Long Li , Yong-Qiang Wang

We develop a systematic method to constrain any n-point correlation function of spinning operators in Large N Slightly Broken Higher Spin (SBHS) theories. As an illustration of the methodology, we work out the three point functions which…

High Energy Physics - Theory · Physics 2024-03-26 Prabhav Jain , Sachin Jain , Bibhut Sahoo , Dhruva K. S , Aashna Zade

The notion of thermal time has been introduced as a possible basis for a fully general-relativistic thermodynamics. Here we study this notion in the restricted context of stationary spacetimes. We show that the Tolman-Ehrenfest effect (in a…

General Relativity and Quantum Cosmology · Physics 2011-03-14 Carlo Rovelli , Matteo Smerlak

Thermal correlation functions and the associated effective statistical potential are computed in two- and three-dimensional non-commutative space using an operator formulation that makes no reference to a star product. The corresponding…

High Energy Physics - Theory · Physics 2015-06-16 Yendrembam Chaoba Devi , Kumar Jang Bahadur Ghosh , Biswajit Chakraborty , Frederik Scholtz

Spectral analysis of the {\em adjoint} propagator in a suitable Hilbert space (and Lie algebra) of quantum observables in Heisenberg picture is discussed as an alternative approach to characterize infinite temperature dynamics of non-linear…

Chaotic Dynamics · Physics 2009-10-31 Tomaz Prosen

The time-dependent variational principle proposed by Balian and Veneroni is used to provide the best approximation to the generating functional for multi-time Green's functions of a set of (bosonic) observables $Q_{\mu)$. By suitably…

High Energy Physics - Theory · Physics 2016-09-06 Mohamed Benarous

We show that the quantum solitons occurring in theories describing a complex scalar field in (1+1)-dimensions with a Z(N) symmetry may be identified with sine-Gordon quantum solitons in the phase of this field. Then using both the Euclidean…

High Energy Physics - Theory · Physics 2012-12-04 Leonardo Mondaini

We extend a path-integral approach to bosonization previously developed in the framework of equilibrium Quantum Field Theories, to the case in which time-dependent interactions are taken into account. In particular we consider a non…

High Energy Physics - Theory · Physics 2009-11-10 Carlos M. Naón , Mariano J. Salvay , Marta L. Trobo

Within a chiral model which provides a good description of the properties of rho and a_1 mesons in vacuum, it is shown that, to order T^2, the rho- and a_1-meson masses remain constant in the chiral limit, even if at tree level they are…

Nuclear Theory · Physics 2009-11-07 M. Urban , M. Buballa , J. Wambach

We study the contour dependence of the out-of-time-ordered correlation function (OTOC) both in weakly coupled field theory and in the Sachdev-Ye-Kitaev (SYK) model. We show that its value, including its Lyapunov spectrum, depends…

High Energy Physics - Theory · Physics 2019-07-26 Aurelio Romero-Bermúdez , Koenraad Schalm , Vincenzo Scopelliti

We quantize the Brownian motion undergone by a free particle in the absence of inertial force (the so-called large friction regime) as described by the diffusion equation early found out by Einstein in 1905. Accordingly, we are able to come…

Statistical Mechanics · Physics 2010-04-06 A. O. Bolivar

We show that, for a detector rotating in a random classical zero-point electromagnetic or massless scalar field at zero temperature, thermal effects exist. The rotating reference system is constructed as an infinite set of Frenet-Seret…

Mathematical Physics · Physics 2010-03-24 Yefim Semenovitch Levin

We consider a two-dimensional electron system with Coulomb interaction between particles at a finite temperature T. We show that the dynamic Kohn anomaly in the response function at 2K_F leads to a linear-in-T correction to the spin…

Strongly Correlated Electrons · Physics 2009-11-11 Victor Galitski , A. V. Chubukov , S. Das Sarma

This paper revisits the classical problem of representing a thermal bath interacting with a system as a large collection of harmonic oscillators initially in thermal equilibrium. As is well known the system then obeys an equation, which in…

Statistical Mechanics · Physics 2018-04-04 Erik Aurell

Hadronic correlation functions at finite temperature in QCD, with four flavours of dynamical quarks, have been analyzed both above and below the chiral symmetry restoration temperature. We have used both point and extended sources for…

High Energy Physics - Lattice · Physics 2009-10-22 G. Boyd , Sourendu Gupta , F. Karsch , E. Laermann

We study the $O(n)$ model on graphs quasi-isometric to the hyperbolic plane, with free boundary conditions. We observe that the pair correlations decay exponentially with distance, for all temperatures, if and only if $n>1$.

Probability · Mathematics 2017-06-19 Itai Benjamini , Gady Kozma

The time-dependent variational principle is used to optimize the linear and nonlinear parameters of Gaussian basis functions to solve the time-dependent Schrodinger equation in 1 and 3 dimensions for a one-body soft Coulomb potential in a…

Applying the time-dependent variational principle of Balian and V\'en\'eroni, we derive variational approximations for multi-time correlation functions in $\Phi^4$ field theory. We assume first that the initial state is given and…

High Energy Physics - Theory · Physics 2009-10-31 Cécile Martin

It has very recently been suggested that asymmetric coupling of electromagnetic fields to thermal reservoirs under nonequilibrium conditions can produce unexpected oscillatory behavior in the local photon statistics in layered structures.…

Quantum Physics · Physics 2014-12-03 Mikko Partanen , Teppo Häyrynen , Jani Oksanen , Jukka Tulkki