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In calculating electroweak radiative corrections at two-loop level, one encounters Feynman graphs with several different masses on the internal propagators and on the external legs, which lead to complicated scalar functions. We describe a…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Ghinculov , Y. -P. Yao

The Fock-Schwinger proper-time method is used to derive the effective action in the field theory with the chiral $U(3)\times U(3)$ symmetry explicitly broken by unequal masses of heavy particles. The one-loop effective action is presented…

High Energy Physics - Theory · Physics 2021-12-08 A. A. Osipov

This paper studies the one-loop effective action for Euclidean Maxwell theory about flat four-space bounded by one three-sphere, or two concentric three-spheres. The analysis relies on Faddeev-Popov formalism and $\zeta$-function…

High Energy Physics - Theory · Physics 2009-10-30 Giampiero Esposito , Alexander Yu. Kamenshchik , Klaus Kirsten

In this paper the connection between standard perturbation theory techniques and the new Bern-Kosower calculational rules for gauge theory is clarified. For one-loop effective actions of scalars, Dirac spinors, and vector bosons in a…

High Energy Physics - Phenomenology · Physics 2009-07-09 Matthew J. Strassler

Using effective field theory methods, we integrate out the standard model Higgs boson to one loop and represent its non-decoupling effects by a set of gauge invariant effective operators of the electroweak chiral Lagrangian. We briefly…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. J. Herrero , E. Ruiz Morales

The one--loop effective action for the case of a massive scalar loop in the background of both a scalar potential and an abelian or non--abelian gauge field is written in a one--dimensional path integral representation. From this the…

High Energy Physics - Theory · Physics 2011-04-15 D. Fliegner , P. Haberl , M. G. Schmidt , C. Schubert

We present master formulas for the divergent part of the one-loop effective action for a minimal operator of any order in the 4-dimensional curved space and for an arbitrary nonminimal operator in the flat space.

High Energy Physics - Theory · Physics 2016-10-26 P. Pronin , K. Stepanyantz

We introduce and motivate the method of effective charges, and consider how to implement an all-orders resummation of large kinematical logarithms in this formalism. Fits for QCD \Lambda and power corrections are performed for the e+e-…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. J. Maxwell

An effective action is obtained for the area and mass aspect of a thin shell of radiating self-gravitating matter. On following a mini-superspace approach, the geometry of the embedding space-time is not dynamical but fixed to be either…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. L. Alberghi , R. Casadio , G. Venturi

The effective potential of quantized scalar field on fuzzy sphere is evaluated to the two-loop level. We see that one-loop potential behaves like that in the commutative sphere and the Coleman-Weinberg mechanism of the radiatively symmetry…

High Energy Physics - Theory · Physics 2009-11-07 Wung-Hong Huang

Equations of motion of low-energy string effective actions can be conveniently described in terms of generalized geometry and Levi-Civita connections on Courant algebroids. This approach is used to propose and prove a suitable version of…

High Energy Physics - Theory · Physics 2017-09-20 Jan Vysoky

We propose a new method that by using the lattice Schr\"odinger functional allows to investigate the effective action for external background fields in lattice gauge theories. We show that this method gives sensible results for the case of…

High Energy Physics - Lattice · Physics 2009-10-28 P. Cea , L. Cosmai , A. D. Polosa

We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the $*$-product of slice regular functions on axially symmetric domains to certain Riemann…

Complex Variables · Mathematics 2018-09-26 Xinyuan Dou , Guangbin Ren

Effective equations often provide powerful tools to develop a systematic understanding of detailed properties of a quantum system. This is especially helpful in quantum cosmology where several conceptual and technical difficulties…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald , Hector Hernandez , Aureliano Skirzewski

Effective field theories, like the Standard Model Effective Field Theory (SMEFT), are defined by a chosen field content and a set of symmetries, up to a cut off scale $\Lambda$. Usually, in order to perform calculations, gauge independent…

High Energy Physics - Phenomenology · Physics 2022-06-06 Michael Trott

A classical nonrelativistic effective field theory for a real Lorentz-scalar field $\phi$ is most conveniently formulated in terms of a complex scalar field $\psi$. There have been two derivations of effective Lagrangians for the complex…

High Energy Physics - Phenomenology · Physics 2018-11-28 Eric Braaten , Abhishek Mohapatra , Hong Zhang

In this paper, the \lambda\phi^4 scalar feld effective action, in the one-loop approximation, is calculated by using the Krein space quantization. We show that the effective action is naturally fnite and the singularity does not appear in…

General Relativity and Quantum Cosmology · Physics 2011-09-14 A. Refaei , M V. Takook

The gauge invariant method for calculation of the effective action of the local composite fields in QFT is proposed. The effective action of the local composite fields in QED is studied up to 2-loop level. The graph rules for the local…

High Energy Physics - Theory · Physics 2007-05-23 S. A. Garnov

We present the complete one-loop effective action up to dimension eight after integrating out degenerate scalars using the Heat-Kernel method. The result is provided without assuming any specific form of either UV or low energy theories,…

High Energy Physics - Phenomenology · Physics 2023-06-16 Upalaparna Banerjee , Joydeep Chakrabortty , Shakeel Ur Rahaman , Kaanapuli Ramkumar

The functional flow equations for the Legendre effective action, with respect to changes in a smooth cutoff, are approximated by a derivative expansion; no other approximation is made. This results in a set of coupled non-linear…

High Energy Physics - Phenomenology · Physics 2009-10-28 Tim R. Morris