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Related papers: Resummed effective action in the world-line formal…

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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

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 provide a worldline representation of the one-loop effective action for a Dirac particle coupled to external scalar, pseudoscalar, vector and axialvector fields. Extending previous work by two of the authors on the pure…

High Energy Physics - Theory · Physics 2024-07-01 F. Bastianelli , O. Corradini , J. P. Edwards , D. G. C. McKeon , C. Schubert

We use the worldline formalism for calculating the one-loop effective action for the Einstein-Maxwell background induced by charged scalars or spinors, in the limit of low energy and weak gravitational field but treating the electromagnetic…

High Energy Physics - Theory · Physics 2009-03-19 Fiorenzo Bastianelli , Jose Manuel Davila , Christian Schubert

Motivated by the seminal work of Schwinger, we obtain explicit closed form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three,…

High Energy Physics - Theory · Physics 2011-11-10 Steven K. Blau , Matt Visser , Andreas Wipf

Higher order coefficients of the inverse mass expansion of one-loop effective actions are obtained from a one-dimensional path integral representation. For the case of a massive scalar loop in the background of both a scalar potential and a…

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

We derive a geometric representation of couplings between spin degrees of freedom and gauge fields within the worldline approach to quantum field theory. We combine the string-inspired methods of the worldline formalism with elements of the…

High Energy Physics - Theory · Physics 2009-11-11 Holger Gies , Jens Hammerling

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

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to…

High Energy Physics - Theory · Physics 2009-10-28 Myriam Mondragon , Lukas Nellen , Michael G. Schmidt , Christian Schubert

We show explicitly that Schwinger's formula for one-loop effective actions corresponds to the summation of energies associated with the zero-point oscillations of the fields. We begin with a formal proof, and after that we confirm it using…

High Energy Physics - Theory · Physics 2009-10-28 L. C. de Albuquerque , C. Farina , Silvio J. Rabello , Arvind N. Vaidya

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

The computation of the one-loop effective action in a radially symmetric background can be reduced to a sum over partial-wave contributions, each of which is the logarithm of an appropriate one-dimensional radial determinant. While these…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Jin Hur , Choonkyu Lee

We adapt the Worldline Formalism to obtain resummed expressions for the effective action and the heat kernel of a quantum scalar field coupled to a Yukawa background. The resummation includes all the invariants built from powers, first…

High Energy Physics - Theory · Physics 2025-06-27 Filippo Fecit , Sebastián Franchino-Viñas , Francisco D. Mazzitelli

At the simple example of a massless scalar field propagating in the static background we study the resummed expressions for the effective action at zero and finite temperature that are free from a usual sickness of the effective action…

High Energy Physics - Theory · Physics 2008-02-03 A. Leonidov , A. Zelnikov

We derive the two-loop effective action for covariantly constant field strength of pure Yang-Mills theory in the presence of an infrared scale. The computation is done in the framework of the worldline formalism, based on a generalization…

High Energy Physics - Theory · Physics 2011-06-24 Jan M. Pawlowski , Michael G. Schmidt , Jian-Hui Zhang

Motivated by the study of quantum fields in a Friedman-Robertson-Walker (FRW) spacetime, the one-loop effective action for a scalar field defined in the ultrastatic manifold $R\times H^3/\Gamma$, $H^3/\Gamma$ being the finite volume,…

High Energy Physics - Theory · Physics 2009-11-10 Guido Cognola , Sergio Zerbini

Our previously-developed calculational method (the partial wave cutoff method) is employed to evaluate explicitly scalar one-loop effective actions in a class of radially symmetric background gauge fields. Our method proves to be…

High Energy Physics - Theory · Physics 2008-11-26 Gerald V. Dunne , Jin Hur , Choonkyu Lee , Hyunsoo Min

We present the universal one-loop effective action for all operators of dimension up to six obtained by integrating out massive, non-degenerate multiplets. Our general expression may be applied to loops of heavy fermions or bosons, and has…

High Energy Physics - Phenomenology · Physics 2016-04-20 Aleksandra Drozd , John Ellis , Jérémie Quevillon , Tevong You

We derive a new kind of recursion relation to obtain the one-particle-irreducible (1PI) Feynman diagrams for the effective action. By using this method, we have obtained the graphical representation of the four-loop effective action in case…

High Energy Physics - Theory · Physics 2008-11-26 Chungku Kim

We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep explicit gauge invariance,…

High Energy Physics - Theory · Physics 2015-11-26 Naser Ahmadiniaz , Olindo Corradini , Daniela D'Ascanio , Sendic Estrada-Jimenez , Pablo Pisani
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