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We present MaRTIn, an extendable all-in-one package for calculating amplitudes up to two loops in an expansion in external momenta or using the method of infrared rearrangement. Renormalizable and non-renormalizable models can be supplied…

High Energy Physics - Phenomenology · Physics 2024-01-09 Joachim Brod , Lorenz Hüdepohl , Emmanuel Stamou , Tom Steudtner

In this chapter we consider different approximations for the one-dimensional one-phase Stefan problem corresponding to the fusion process of a semi-infinite material with a temperature boundary condition at the fixed face and non-linear…

Statistical Mechanics · Physics 2019-06-21 Julieta Bollati , María F. Natale , José A. Semitiel , Domingo A. Tarzia

Simulated tempering (ST) is an established Markov chain Monte Carlo (MCMC) method for sampling from a multimodal density $\pi(\theta)$. Typically, ST involves introducing an auxiliary variable $k$ taking values in a finite subset of $[0,1]$…

Computation · Statistics 2008-11-03 Robert B. Gramacy , Richard J. Samworth , Ruth King

It is shown how quantum field theory at finite temperature can be used to set up self-consistent and gauge invariant equations for cosmological perturbations sustained by an ultrarelativistic plasma. While in the collisionless case, the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Anton K. Rebhan

The simulation of rare events is one of the key problems in atomistic simulations. Towards its solution a plethora of methods have been proposed. Here we combine two such methods metadynamics and inte-grated tempering sampling. In…

Chemical Physics · Physics 2018-10-29 Yi Isaac Yang , Haiyang Niu , Michele Parrinello

The low temperature magnetization process of the ferromagnetic-antiferromagnetic Heisenberg chain is studied using the interacting boson approximation. In the low field regime and near the saturation field, the spin wave excitations are…

Strongly Correlated Electrons · Physics 2009-10-30 Kazuo Hida

Building on previous developments, we show that the Diagrammatic Monte Carlo technique allows to compute finite temperature response functions directly on the real-frequency axis within any field-theoretical formulation of the interacting…

Strongly Correlated Electrons · Physics 2021-07-19 I. S. Tupitsyn , A. M. Tsvelik , R. M. Konik , N. V. Prokof'ev

For a given diagrammatic approximation in many-body perturbation theory it is not guaranteed that positive observables, such as the density or the spectral function, retain their positivity. For zero-temperature systems we developed a…

Mathematical Physics · Physics 2022-08-23 Markku J. Hyrkäs , Daniel Karlsson , Robert van Leeuwen

Using the imaginary time formalism in thermal field theory, we derive running coupling constant and running mass in two loop order. In the process, we express the imaginary time formalism of Feynman diagrams as the summation of non-thermal…

High Energy Physics - Theory · Physics 2022-02-09 K. Arjun , A. M. Vinodkumar , Vishnu Mayya Bannur

The issue discussed is a thermodynamic version of the Bern-Kosower master amplitude formula, which contains all necessary one-loop Feynman diagrams. It is demonstrated how the master amplitude at finite values of temperature and chemical…

High Energy Physics - Theory · Physics 2015-06-26 Haru-Tada Sato

We show that at one-loop order, negative-dimensional, Mellin-Barnes' (MB) and Feynman parametrization (FP) approaches to Feynman loop integrals calculations are equivalent. Starting with a generating functional, for two and then for…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. T. Suzuki , E. S. Santos , A. G. M. Schmidt

The Generalized Method of Moments (GMM) is a partition of unity based technique for solving electromagnetic and acoustic boundary integral equations. Past work on the GMM for electromagnetics was confined to geometries modeled by piecewise…

Computational Physics · Physics 2015-06-18 Daniel Dault , Naveen V. Nair , Jie Li , Balasubramaniam Shanker

Adequate modelling of the multiphase interstellar medium requires optically thin radiative cooling, comprising an inherent thermal instability. The size of the occurring condensation and evaporation interfaces is determined by the so-called…

Astrophysics of Galaxies · Physics 2015-05-13 Oliver Gressel

We propose a first-principles formulism for system with spin fluctuations and apply it to the ordered Fe3Pt to uncover the Invar anomalies, including negative thermal expansion and spontaneous magnetization. The theory has coherently…

Materials Science · Physics 2014-02-25 Y. Wang , S. L. Shang , H. Zhang , L. -Q. Chen , Z. -K. Liu

Finite temperature density functional theory requires representations for the internal energy, entropy, and free energy as functionals of the local density field. A central formal difficulty for an orbital-free representation is…

Statistical Mechanics · Physics 2011-05-12 James W. Dufty , S. B. Trickey

We present a rigorous derivation of a real space Full-Potential Multiple-Scattering-Theory (FP-MST), valid both for continuum and bound states, that is free from the drawbacks that up to now have impaired its development, in particular the…

Other Condensed Matter · Physics 2010-02-11 Keisuke Hatada , Kuniko Hayakawa , Maurizio Benfatto , Calogero R. Natoli

We study symmetry restoration at finite temperature in the standard model during the electroweak phase transition in the presence of a weak magnetic field. We compute the finite temperature effective potential up to the contribution of ring…

High Energy Physics - Phenomenology · Physics 2011-01-17 Jorge Navarro , Angel Sanchez , Maria Elena Tejeda-Yeomans , Alejandro Ayala , Gabriella Piccinelli

We present an algebraic, nondiagrammatic derivation of finite-temperature second-order many-body perturbation theory [FT-MBPT(2)], using techniques and concepts accessible to theoretical chemical physicists. We give explicit expressions not…

Chemical Physics · Physics 2016-09-05 Robin Santra , Jochen Schirmer

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

We present a modified finite temperature Lanczos method for the evaluation of dynamical and static quantities of strongly correlated electron systems that complements the finite temperature method (FTLM) introduced by Jaklic and Prelovsek…

Strongly Correlated Electrons · Physics 2007-05-23 Markus Aichhorn , Maria Daghofer , Hans Gerd Evertz , Wolfgang von der Linden