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We use functional methods to compute one-loop effects in Heavy Quark Effective Theory. The covariant derivative expansion technique facilitates the efficient extraction of matching coefficients and renormalization group evolution equations.…

High Energy Physics - Phenomenology · Physics 2020-07-15 Timothy Cohen , Marat Freytsis , Xiaochuan Lu

The derivative expansion of the one-loop effective action in QED$_3$ and QED$_4$ is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , I. A. Shovkovy

We study a problem of systematical evaluation of the quantum corrections for general 4D supersymmetric K\"ahler sigma models with chiral and antichiral superpotentials. Using manifestly reparametrization covariant techniques (the…

High Energy Physics - Theory · Physics 2008-11-26 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

The one-loop effective action in QED at zero and finite temperature is obtained by using the worldline approach. The Feynman rules for the perturbative expansion of the action in the number of derivatives are derived. The general structure…

High Energy Physics - Theory · Physics 2011-04-15 Igor A. Shovkovy

We apply the string inspired worldline formalism to the calculation of the higher derivative expansion of one-loop effective actions in non-Abelian gauge theory. For this purpose, we have completely computerized the method, using the…

High Energy Physics - Theory · Physics 2009-10-30 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the…

High Energy Physics - Phenomenology · Physics 2025-08-20 Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen

We develop tools for performing effective field theory (EFT) calculations in a manifestly gauge-covariant fashion. We clarify how functional methods account for one-loop diagrams resulting from the exchange of both heavy and light fields,…

High Energy Physics - Phenomenology · Physics 2016-04-06 Brian Henning , Xiaochuan Lu , Hitoshi Murayama

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

The derivative expansion of the effective action is considered in the model with two interacting real scalar fields in curved spacetime. Using the functional approach and local momentum representation, the coefficient of the derivative term…

High Energy Physics - Theory · Physics 2025-07-01 Alícia G. Borges , Ilya L. Shapiro

The higher derivative expansion of the one-loop effective action for an external scalar potential is calculated to order O(T**7), using the string-inspired Bern-Kosower method in the first quantized path integral formulation. Comparisons…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Fliegner , M. G. Schmidt , C. Schubert

We develop the calculation of the divergent part of one-loop covariant effective action for scalar fields minimally and non-minimally coupled to gravity using the generalized Schwinger-DeWitt technique. We derive the field-space metric…

High Energy Physics - Theory · Physics 2021-10-08 Sandeep Aashish , Sukanta Panda , Abbas Altafhussain Tinwala , Archit Vidyarthi

We study the small mass limit of the one-loop spinor effective action, comparing the derivative expansion approximation with exact numerical results that are obtained from an extension to spinor theories of the partial-wave-cutoff method.…

High Energy Physics - Theory · Physics 2011-05-25 Gerald V. Dunne , Adolfo Huet , Jin Hur , Hyunsoo Min

We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled…

High Energy Physics - Theory · Physics 2009-12-30 A. T. Banin , I. L. Buchbinder , N. G. Pletnev

In the present talk we briefly demonstrate an elegant and effective technique for calculation of the trace expansion in the derivatives of background fields. One of main advantages of the technique is manifestly (super)symmetrical and gauge…

High Energy Physics - Theory · Physics 2009-11-07 A. T. Banin , N. G. Pletnev

In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutative parameter theta…

High Energy Physics - Theory · Physics 2009-11-07 Maja Buric , Voja Radovanovic

The derivative expansion of the one-loop effective Lagrangian in QED$_4$ is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this paper we give an explicit expression…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. P. Gusynin , I. A. Shovkovy

Building upon the Covariant Derivative Expansion, we develop a method to compute effective actions that is able to capture non-perturbative effects induced by strong background fields. We demonstrate the method in scalar QED, by deriving…

High Energy Physics - Theory · Physics 2025-12-10 Sebastián Franchino-Viñas , Jérémie Quevillon , Diego Saviot

There are currently many string inspired conjectures about the structure of the low-energy effective action for super Yang-Mills theories which require explicit multi-loop calculations. In this paper, we develop a manifestly covariant…

High Energy Physics - Theory · Physics 2009-11-10 S. M. Kuzenko , I. N. McArthur

Functional methods and a derivative expansion are employed for laying out a procedure to compute the effective action to any loop order, for scalar fields parametrising an arbitrary Riemannian manifold, while maintaining explicit…

High Energy Physics - Theory · Physics 2024-10-08 Rodrigo Alonso , Mia West

We formulate a generic three-dimensional higher-derivative superfield theory for self-interacting scalar superfield action. We consider the cases of real and complex scalar superfields. For these theories, we explicitly calculate the…

High Energy Physics - Theory · Physics 2013-09-30 F. S. Gama , J. R. Nascimento , A. Yu. Petrov
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