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In this letter we present a recursive method for computing one-loop off-shell amplitudes in colored quantum field theories. First, we generalize the perturbiner method by recasting the multiparticle currents as generators of off-shell tree…

高能物理 - 理论 · 物理学 2023-03-14 Humberto Gomez , Renann Lipinski Jusinskas , Cristhiam Lopez-Arcos , Alexander Quintero Velez

The scattering equations on the Riemann sphere give rise to remarkable formulae for tree-level gauge theory and gravity amplitudes. Adamo, Casali and Skinner conjectured a one-loop formula for supergravity amplitudes based on scattering…

高能物理 - 理论 · 物理学 2015-09-23 Yvonne Geyer , Lionel Mason , Ricardo Monteiro , Piotr Tourkine

We derive an exact closed-form representation for the Euclidean thermal Green function of the two-dimensional (2D) free massless scalar field in coordinate space. This can be interpreted as the real part of a complex analytic function of a…

高能物理 - 理论 · 物理学 2012-10-23 Leonardo Mondaini

The spin-4/3 fractional superstring is characterized by a world-sheet chiral algebra involving spin-4/3 currents. The discussion of the tree-level scattering amplitudes of this theory presented in hepth/9310131 is expanded to include…

高能物理 - 理论 · 物理学 2009-10-22 Philip C. Argyres , S. -H. Henry Tye

Following an argument advanced by Feynman, we consider a method for obtaining the effective action which generates the sum of tree diagrams with external physical particles. This technique is applied, in the unbroken \lambda \phi^4 theory,…

高能物理 - 理论 · 物理学 2009-10-28 Fernando T Brandt , Josif Frenkel

Using electromagnetic interaction as an example, response transformations [L.P. and S.S., Ann.Phys. 323, 1963, 1989 (2008), 324, 600 (2009)] are applied to the standard perturbative approach of quantum field theory. This approach is…

量子物理 · 物理学 2015-07-28 L. I. Plimak , S. T. Stenholm

We provide a new set of on-shell recursion relations for tree-level scattering amplitudes, which are valid for any non-trivial theory of massless particles. In particular, we reconstruct the scattering amplitudes from (a subset of) their…

高能物理 - 理论 · 物理学 2015-05-28 Paolo Benincasa , Eduardo Conde

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this…

高能物理 - 唯象学 · 物理学 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

Any gravitational scattering amplitude takes a remarkably simple factorized form at tree level in multi-Regge kinematics (MRK), where the produced particles are strongly ordered in rapidity. Very recently, it was shown that also the…

高能物理 - 理论 · 物理学 2019-02-21 Zhengwen Liu

Different formalisms used in the perturbative approach to Thermal Field Theory (TFT) are briefly reviewed. The rate of production of a virtual photon in a quark-gluon plasma is then discussed to illustrate some features of TFT before…

高能物理 - 唯象学 · 物理学 2007-05-23 P. Aurenche

Closed expressions for the Green function and amplitude of the scalar particle scattering in the external gravitational field $g_{\mu\nu}(x)$ are found in the form of functional integrals. It is shown that, as compared with the scattering…

高能物理 - 理论 · 物理学 2007-05-23 Nguyen Suan Han

We present a scaling theory for the effect of thermal fluctuations on the characteristics of the depinning transition, and also in the closely related directed percolation model. Thermal effects act as a sort of external field that produces…

统计力学 · 物理学 2017-04-07 E. A. Jagla

We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are…

高能物理 - 理论 · 物理学 2020-01-29 Yvonne Geyer , Ricardo Monteiro , Ricardo Stark-Muchão

The construction of amplitudes on curved space-times is a major challenge, particularly when the background has non-constant curvature. We give formulae for all tree-level graviton scattering amplitudes in curved self-dual radiative…

高能物理 - 理论 · 物理学 2023-05-11 Tim Adamo , Lionel Mason , Atul Sharma

We calculate the far-from-equilibrium dynamics and thermalization both for the quantum and the classical O(N)--model. The early and late-time behavior can be described from the 2PI--loop expansion for weak couplings or the nonperturbative…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Berges

Finite size effects alter not only the energy levels of small systems, but can also lead to new effective interactions within these systems. Here the problem of low energy quantum scattering by a spherically symmetric short range potential…

量子物理 · 物理学 2009-11-11 J. I. Kim , J. Schmiedmayer , P. Schmelcher

In this article, we extend our previous study of the $\pi$-$\pi$ scattering lengths under the presence of an external magnetic field, including finite temperature effects. The novelty of this work is precisely the introduction of…

高能物理 - 唯象学 · 物理学 2019-12-18 Marcelo Loewe , Enrique Muñoz , Renato Zamora

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…

高能物理 - 唯象学 · 物理学 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We derive a graph expansion for the thermal partition function of solvable two-dimensional models with boundaries. This expansion of the integration measure over the virtual particles winding around the time cycle is obtained with the help…

高能物理 - 理论 · 物理学 2020-01-08 Ivan Kostov , Didina Serban , Dinh-Long Vu

Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to…

高能物理 - 理论 · 物理学 2011-03-02 Andreas Brandhuber , Dimitrios Korres , Daniel Koschade , Gabriele Travaglini