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We perform a complete calculation of the pion-kaon scattering amplitude in Chiral Perturbation Theory at finite temperature, paying particular attention to the analytic structure of the amplitude and the main differences with respect to the…

High Energy Physics - Phenomenology · Physics 2023-08-30 Angel Gómez Nicola , Jacobo Ruiz de Elvira , Andrea Vioque-Rodríguez

In a recent paper [Phys. Rev. D {\bf 72}, 085006 (2005)], Brandt {\em et al}. deduced the thermal operator representation for a thermal $N$-point amplitude, both in the imaginary-time and real-time formalisms. In the case when a chemical…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. Inui , H. Kohyama , A. Niegawa

We present the pion-pion elastic scattering amplitude at finite temperature to one-loop in Chiral Perturbation Theory. The thermal scattering amplitude properly defined allows to generalize the perturbative unitarity relation to the $T\neq…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gomez Nicola , F. J. LLanes-Estrada , J. R. Pelaez

Forward scattering amplitude of the virtual longitudinal photon at zero energy on electron in QED in the limit of small photon virtualities is calculated. The first radiation corrections are taken into account. Two terms in the expansion…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Samsonov

We review some of the recent advances in the computation of one-loop scattering amplitudes which led to the construction of efficient and automated computational tools for NLO predictions. Particular attention is devoted to unitarity-based…

High Energy Physics - Phenomenology · Physics 2015-06-17 Giovanni Ossola

At zero temperature coupled cluster theory is widely used to predict total energies, ground state expectation values and even excited states for molecules and extended systems. Generalizations to finite temperature exist, however, they are…

Materials Science · Physics 2019-11-21 Felix Hummel

We review techniques for more efficient computation of perturbative scattering amplitudes in gauge theory, in particular tree and one-loop multi-parton amplitudes in QCD. We emphasize the advantages of (1) using color and helicity…

High Energy Physics - Phenomenology · Physics 2008-02-03 L. Dixon

We develop a dynamical formulation of one-dimensional scattering theory where the reflection and transmission amplitudes for a general, possibly complex and energy-dependent, scattering potential are given as solutions of a set of dynamical…

Quantum Physics · Physics 2015-06-17 Ali Mostafazadeh

In the framework of functional integration the non-leading terms to leading eikonal behavior of the Planckian-energy scattering amplitude are calculated by the straight-line path approximation. We show that the allowance for the first-order…

General Relativity and Quantum Cosmology · Physics 2011-09-13 Nguyen Suan Han , Nguyen Nhu Xuan

We propose a method for calculating the reaction rates and transition amplitudes of generic process taking place in a many body system in equilibrium. The relationship of the scattering and decay amplitudes as calculated in Thermo Field…

Nuclear Theory · Physics 2009-11-06 A. Rakhimov , F. C. Khanna

We consider the QCD scattering amplitudes at high energies sqrt{s} and fixed momentum transfers sqrt{-t} in the leading logarithmic approximation at a non-zero temperature T in the t-channel. It is shown that the BFKL Hamiltonian has the…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. de Vega , L. N. Lipatov

The early universe is dominated by phenomena at high temperatures. The thermal effects decrease during evolution of the universe. However there are some phenomena, such as processes inside stars and black holes, where the role of the…

General Relativity and Quantum Cosmology · Physics 2017-11-27 A. F. Santos , S. C. Ulhoa , Faqir C. Khanna

We report on fits of a large class of analytic amplitude models for forward scattering against the comprehensive data for all available reactions. To differentiate the goodness of the fits of many possible parametrizations to a large sample…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Kang , J. R. Cudell , V. V. Ezhela , P. Gauron , Yu. V. Kuyanov , S. B. Lugovsky , B. Nicolescu , N. P. Tkachenko

We present our preliminary results on the calculation of hadronic light-by-light forward scattering amplitudes using vector four-point correlation functions computed on the lattice. Using a dispersive approach, forward scattering amplitudes…

High Energy Physics - Lattice · Physics 2018-04-18 Antoine Gerardin , Jeremy Green , Oleksii Gryniuk , Georg von Hippel , Harvey B. Meyer , Vladimir Pascalutsa , Hartmut Wittig

Using the mixed space representation (t,p) in the context of scalar field theories, we prove in a simple manner that the Feynman graphs at finite temperature are related to the corresponding zero temperature diagrams through a simple…

High Energy Physics - Theory · Physics 2008-11-26 Fernando T. Brandt , Ashok Das , Olivier Espinosa , Josif Frenkel , Silvana Perez

We compute the scattering amplitude for Schr\"odinger operators at a critical energy level, corresponding to the maximum point of the potential. We follow the wrok of Robert and Tamura, '89, using Isozaki and Kitada's representation formula…

Analysis of PDEs · Mathematics 2007-05-23 Ivana Alexandrova , Jean-Francois Bony , Thierry Ramond

I examine the regime of forward scattering of an energetic particle in a Plasma medium in thermal equilibrium. Treating the particle as an open quantum system interacting with a bath, I look at the time evolution of the reduced density…

High Energy Physics - Phenomenology · Physics 2021-01-08 Varun Vaidya

We study the finite-temperature expectation values of exponential fields in the sine-Gordon model. Using finite-volume regularization, we give a low-temperature expansion of such quantities in terms of the connected diagonal matrix…

Strongly Correlated Electrons · Physics 2015-06-18 Francesco Buccheri , Gabor Takacs

Thermal field theory is indispensable for describing hot and dense systems. Yet perturbative calculations are often stymied by a host of energy scales, and tend to converge slowly. This means that precise results require the apt use of…

High Energy Physics - Phenomenology · Physics 2023-04-20 Andreas Ekstedt

We derive spectral representations for the different components of the 4-point function at finite temperature in the real time formalism in terms of five real spectral densities. We explicitly calculate all these functions in QED in the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hou Defu , M. E. Carrington , R. Kobes , U. Heinz