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We derive a factorization formula for coherent and incoherent $ep$ diffraction using the soft collinear effective theory, utilizing multiple power expansion parameters to handle different kinematic regions. This goes beyond the known…

High Energy Physics - Phenomenology · Physics 2025-12-02 Kyle Lee , Stella T. Schindler , Iain W. Stewart

We study the extension of the approach to the a-theorem of Komargodski and Schwimmer to quantum field theories in d=6 spacetime dimensions. The dilaton effective action is obtained up to 6th order in derivatives. The anomaly flow a_UV -…

High Energy Physics - Theory · Physics 2015-06-05 Henriette Elvang , Daniel Z. Freedman , Ling-Yan Hung , Michael Kiermaier , Robert C. Myers , Stefan Theisen

We study SU(2) Yang-Mills theory at finite temperature in the framework of the functional renormalization group. We concentrate on the effective potential for the Polyakov loop which serves as an order parameter for confinement. In this…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , H. Gies , H. J. Pirner

Covariant quantization of rank-2 antisymmetric fields is non-trivial due to additional symmetries of the gauge parameters. We present an intuitive way to deal with this additional symmetry of gauge parameters in terms of geometrical…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Sandeep Aashish , Sukanta Panda

We study the convergence of the derivative expansion for flow equations. The convergence strongly depends on the choice for the infrared regularisation. Based on the structure of the flow, we explain why optimised regulators lead to better…

High Energy Physics - Theory · Physics 2009-11-07 Daniel F. Litim

In this paper we consider the quantization of a scalar field coupled to gravity at one loop order. We investigate the divergences appearing in the mass (i.e. phi^2) term in the effective action. We use the Vilkovisky-DeWitt effective action…

High Energy Physics - Theory · Physics 2010-02-04 P. T. Mackay , D. J. Toms

Considerable work has been done on the one-loop effective action in combined electromagnetic and gravitational fields, particularly as a tool for determining the properties of light propagation in curved space. After a short review of…

General Relativity and Quantum Cosmology · Physics 2009-04-24 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

We investigate compatibility between the stochastic infrared (IR) resummation of light test fields on inflationary spacetimes and renormalisation group running of the ultra-violet (UV) physics. Using the Wilsonian approach, we derive…

High Energy Physics - Theory · Physics 2019-09-19 Robert J. Hardwick , Tommi Markkanen , Sami Nurmi

An analytic solution to a generalized Grad-Shafranov equation with flow of arbitrary direction is obtained upon adopting the generic linearizing ansatz for the free functions related to the poloidal current, the static pressure and the…

Plasma Physics · Physics 2019-12-30 D. A. Kaltsas , A. Kuiroukidis , G. N. Throumoulopoulos

Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum Abelian vector field with a non-derivative coupling to an external tensor…

High Energy Physics - Theory · Physics 2019-06-26 C. Garcia-Recio , L. L. Salcedo

The renormalization group plays an essential role in many areas of physics, both conceptually and as a practical tool to determine the long-distance low-energy properties of many systems on the one hand and on the other hand search for…

Statistical Mechanics · Physics 2021-05-10 N. Dupuis , L. Canet , A. Eichhorn , W. Metzner , J. M. Pawlowski , M. Tissier , N. Wschebor

We discuss application of formalism of small-$x$ effective action for reggeized gluons, \cite{Gribov,LipatovEff,BFKL}, for the calculation of classical gluon field of relativistic color charge, similarly to that done in CGC approach of…

High Energy Physics - Phenomenology · Physics 2017-09-13 S. Bondarenko , L. Lipatov , A. Prygarin

Electromagnetic waves propagating through vacuum can polarize virtual electron-positron pairs; this polarization, in turn, nonlinearly modifies their propagation. A semi-classical nonlinear wave equation describing the propagation is…

Optics · Physics 2026-01-08 D. Ramsey , M. S. Formanek , J. P. Palastro

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

High Energy Physics - Phenomenology · Physics 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior

The goal of this paper is to present a formalism that allows to handle four-fermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effective action and zeta function…

High Energy Physics - Theory · Physics 2015-03-17 Antonino Flachi , Takahiro Tanaka

We compute the two-loop Sudakov form factor in three-dimensional N=6 superconformal Chern-Simons theory, using generalised unitarity. As an intermediate step, we derive the non-planar part of the one-loop four-point amplitude in terms of…

High Energy Physics - Theory · Physics 2015-06-15 Andreas Brandhuber , Omer Gurdogan , Dimitrios Korres , Robert Mooney , Gabriele Travaglini

Field transformations for the quantum effective action lead to different pictures of a given physical situation, as describing a given evolution of the universe by different geometries. Field transformations for functional flow equations…

High Energy Physics - Theory · Physics 2024-10-22 C. Wetterich

The one-loop effective action for a scalar field defined in the ultrastatic space-time where non standard logarithmic terms in the asymptotic heat-kernel expansion are present, is investigated by a generalisation of zeta-function…

High Energy Physics - Theory · Physics 2016-11-09 Guido Cognola , Sergio Zerbini

We investigate the renormalization group (RG) structure of the gradient flow. Instead of using the original bare action to generate the flow, we propose to use the effective action at each flow time. We write down the basic equation for…

High Energy Physics - Theory · Physics 2019-12-06 Yoshihiko Abe , Masafumi Fukuma

The letter presents new field-theoretical approach to 2D passive scalar problem. The Gaussian form of the distribution for the Lyapunov exponent is derived and its parameters are found explicitly.

Condensed Matter · Physics 2009-10-22 M. Chertkov , Y. V. Fyodorov , I. Kolokolov