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We consider finite temperature 1-loop diagrams with hard loop momenta and an arbitrary number of external gauge fields when the external momenta are either soft, or near the light cone and nearly collinear with the loop momentum. We obtain…

High Energy Physics - Phenomenology · Physics 2015-05-18 Denis Besak , Dietrich Bodeker

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and…

High Energy Physics - Phenomenology · Physics 2011-07-21 B. Pasquini , C. Lorcé

The Wigner function was introduced as an attempt to describe quantum-mechanical fields with the tools inherited from classical statistical mechanics. In particular, it is widely used to describe the properties of radiation fields. In fact,…

Quantum Physics · Physics 2025-04-10 Juan Camilo López Carreño

I derive a general effective theory for hot and/or dense quark matter. After introducing general projection operators for hard and soft quark and gluon degrees of freedom, I explicitly compute the functional integral for the hard quark and…

Nuclear Theory · Physics 2007-05-23 Philipp T. Reuter

We argue that the distribution functions for quarks and gluons are computable at small x for sufficiently large nuclei, perhaps larger than can be physically realized. For such nuclei, we argue that weak coupling methods may be used. We…

High Energy Physics - Phenomenology · Physics 2011-05-05 Larry McLerran , Raju Venugopalan

In the beginning of the 1950's, Wigner introduced a fundamental deformation from the canonical quantum mechanical harmonic oscillator, which is nowadays sometimes called a Wigner quantum oscillator or a parabose oscillator. Also, in quantum…

Mathematical Physics · Physics 2008-06-27 E. I. Jafarov , S. Lievens , J. Van der Jeugt

In this review article, we discuss the current status and future prospects of perturbation theory as a means of studying the equilibrium thermodynamic and near-equilibrium transport properties of deconfined QCD matter. We begin with a brief…

High Energy Physics - Phenomenology · Physics 2020-10-14 Jacopo Ghiglieri , Aleksi Kurkela , Michael Strickland , Aleksi Vuorinen

We present a new quasi-probability distribution function for ensembles of spin-half particles or qubits that has many properties in common with Wigner's original function for systems of continuous variables. We show that this function…

Quantum Physics · Physics 2013-03-04 Derek Harland , M. J. Everitt , Kae Nemoto , T. Tilma , T. P. Spiller

Evaluation of the angular distribution function of particles scattered in an amorphous medium is improved by deforming the integration path in the Fourier integral representation into the complex plane. That allows us to present the…

High Energy Physics - Phenomenology · Physics 2016-03-23 M. V. Bondarenco

The Wigner function for one and two-mode quantum systems is explicitely expressed in terms of the marginal distribution for the generic linearly transformed quadratures. Then, also the density operator of those systems is written in terms…

Quantum Physics · Physics 2009-10-30 G. M. D'Ariano , S. Mancini , V. I. Man'ko , P. Tombesi

The effects of interpreting classical phase space distributions as Wigner functions, which is common in models of multiparticle production, are discussed. The temperature for the classical description is always higher than that for its…

High Energy Physics - Phenomenology · Physics 2009-04-22 K. Zalewski

The coherence properties of the classical waves are discussed in terms of the Cauchy problem for the wave equation, and of a discrete representation by an ensemble of Hamiltonian systems. Wave quanta are related to specific "action fields",…

Quantum Physics · Physics 2021-09-15 M. Grigorescu

The heat kernel expansion for field theory at finite temperature is constructed. It is based on the imaginary time formalism and applies to generic Klein-Gordon operators in flat space-time. Full gauge invariance is manifest at each order…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We study the Wigner functions of the nucleon which provide multidimensional images of the quark distributions in phase space and combine in a single picture all the information contained in the generalized parton distributions (GPDs) and…

High Energy Physics - Phenomenology · Physics 2022-03-02 Cedric Lorce , Barbara Pasquini

We discuss a novel approach to estimate the partition function in effective model frameworks when the effective potentials have multiple extrema, so that ascertaining a mean field becomes difficult. Using this approach we present a…

High Energy Physics - Phenomenology · Physics 2023-03-14 Chowdhury Aminul Islam , Munshi G. Mustafa , Rajarshi Ray , Pracheta Singha

We suggest a duality between the standard (dynamical) and statistical distributions of partons in the nucleons. The temperature parameter entering into the statistical form for the quark distributions is estimated. It is found that this…

High Energy Physics - Phenomenology · Physics 2015-05-27 J. Cleymans , G. I. Lykasov , A. S. Sorin , O. V. Teryaev

We first review the usefulness of the Wigner distribution functions (WDF), associated with Lindblad and pre-master equations, for analyzing a host of problems in Quantum Optics where dissipation plays a major role, an arena where weak…

Quantum Physics · Physics 2009-11-10 R. F. O'Connell

An algorithm for an improved description of final-state QCD radiation is introduced. It is matched to the first-order matrix elements for gluon emission in a host of decays, for processes within the Standard Model and the Minimal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Torbjörn Sjöstrand

Inspired by recent progress on classical limits of scattering amplitudes, we show that hard thermal loops can be obtained from classical limits of off-shell currents. The classicality of hard thermal loops is made manifest by associating…

High Energy Physics - Theory · Physics 2021-07-28 Leonardo de la Cruz

Higher (2nd)-order Wigner distribution function in quantum phase space for entangled bi-modal coherent states, a representative of higher (2nd)-order optical-polarization, is introduced by generalizing kernel (transiting) operator in…

Quantum Physics · Physics 2012-04-04 Ravi S. Singh , Sunil P. Singh , Lallan Yadava , Gyaneshwar K. Gupta