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We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from…

High Energy Physics - Phenomenology · Physics 2024-03-19 Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen

We study the $\phi_{\star}^4$ model for a scalar field in a linearization of the Snyder model, using the methods of the Worldline Formalism. Our main result is a master equation for the 1-loop n-point function. From this we derive the…

High Energy Physics - Theory · Physics 2021-04-01 S. A. Franchino-Viñas , S. Mignemi

We introduce a way of implementing Wilson renormalization within the context of the theory of effective Hamiltonians. Our renormalization scheme involves manipulations at the level of the generalized $G$--matrix and is independent of any…

High Energy Physics - Phenomenology · Physics 2015-06-25 T. J. Fields , K. S. Gupta , J. P. Vary

We compute the one-loop effective action in \N=1 conformal SU(N) gauge theory which is an exactly marginal deformation of the \N=4 SYM theory. We consider an abelian background of constant \N = 1 gauge field and single chiral scalar. While…

High Energy Physics - Theory · Physics 2009-09-17 S. M. Kuzenko , A. A. Tseytlin

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 show that in arbitrary even dimension, the two-loop scalar QED Heisenberg-Euler effective action can be reduced to simple one-loop quantities, using just algebraic manipulations, when the constant background field satisfies F^2 = -f^2 I,…

High Energy Physics - Theory · Physics 2009-02-11 Marek Krasnansky

In this talk the gauge symmetry for Wilsonian flows in pure Yang-Mills theories is discussed. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under…

High Energy Physics - Theory · Physics 2009-11-07 F. Freire , D. F. Litim , J. M. Pawlowski

Based only on simple principles of renormalization in coordinate space, we derive closed renormalized amplitudes and renormalization group constants at 1- and 2-loop orders for scalar field theories in general backgrounds. This is achieved…

High Energy Physics - Theory · Physics 2015-06-26 J. Comellas , P. E. Haagensen , J. I. Latorre

Using the background field method for the functional renormalization group approach in the case of a generic gauge theory, we study the background field symmetry and gauge dependence of the background average effective action, when the…

High Energy Physics - Theory · Physics 2019-08-23 Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

We apply the worldline formalism to the Grosse-Wulkenhaar model and obtain an expression for the one-loop effective action which provides an efficient way for computing Schwinger functions in this theory. Using this expression we obtain the…

High Energy Physics - Theory · Physics 2014-12-08 Sebastián Franchino Viñas , Pablo Pisani

To construct renormalizable gauge model in Bosonic-Fermionic noncommutative (BFNC) superspace, we replace the ordinary products of super Yang-Mills model by BFNC star products. To study the renormalization property of the deformed action,…

High Energy Physics - Theory · Physics 2016-03-16 Xu-Dong Wang

One-loop effective action of noncommutative scalar field theory with cubic self-interaction is studied. Utilizing worldline formulation, both planar and nonplanar part of the effective action are computed explicitly. We find complete…

High Energy Physics - Theory · Physics 2011-09-13 Youngjai Kiem , Soo-Jong Rey , Haru-Tada Sato , Jung-Tay Yee

We derive a universal formula for the one-loop renormalization of the effective K\"ahler potential that applies to general supersymmetric effective field theories of chiral multiplets, with arbitrary interactions respecting N=1…

High Energy Physics - Theory · Physics 2012-05-17 Raphael Flauger , Simeon Hellerman , Cornelius Schmidt-Colinet , Matthew Sudano

We consider the scalar sector of a general renormalizable theory and evaluate the effective potential through three loops analytically. We encounter three-loop vacuum bubble diagrams with up to two masses and six lines, which we solve using…

High Energy Physics - Theory · Physics 2018-11-13 Bernd A. Kniehl , Andrey F. Pikelner , Oleg L. Veretin

We consider derivation of the effective potential for a scalar field in curved space-time within the physical regularization scheme, using two sorts of covariant cut-off regularizations. The first one is based on the local momentum…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Flavia Sobreira , Baltazar J. Ribeiro , Ilya L. Shapiro

We present a set of algebraic functions for evaluating the coefficients of the scalar integral basis of a general one-loop amplitude. The functions are derived from unitarity cuts, but the complete cut-integral procedure has been carried…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ruth Britto , Bo Feng

We investigate the one-loop corrections at zero, as well as finite temperature, of a scalar field taking place in a braneworld motived warped background. After to reach a well defined problem, we calculate the effective action with the…

High Energy Physics - Theory · Physics 2015-11-18 J. M. Hoff da Silva , E. L. Mendonça , E. Scatena

Predicting phenomena that mix few-photon quantum optics with strong field nonlinear optics is hindered by the use of separate theoretical formalisms for each regime. We close this gap with a unified effective field theory valid for…

Optics · Physics 2025-12-30 Xiaochen Liu , Ken-Tye Yong

Application of the background-field method yields a gauge-invariant effective action for the electroweak Standard Model, from which simple QED-like Ward identities are derived. As a consequence of these Ward identities, the background-field…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Denner , S. Dittmaier , G. Weiglein

In the context of scalar quantum field theory we introduce a class of generically nonlinear quantum-background splits for which the splitting Ward identity, encoding the single field dependence in the effective action, can be solved…

High Energy Physics - Theory · Physics 2017-10-11 Mahmoud Safari , Gian Paolo Vacca