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Classical field theories coupled to stochastic noise provide an extremely powerful tool for modeling phenomena as diverse as turbulence, pattern-formation, and the structural development of the universe itself. In this Letter we sketch a…

Statistical Mechanics · Physics 2007-05-23 David Hochberg , Carmen Molina-Paris , Juan Perez-Mercader , Matt Visser

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

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

We have calculated the one loop effective potential of the vector multiplets arising from the compactification to five dimensions of heterotic M-theory on a Calabi-Yau manifold with h^{1,1}>1. We find that extensive cancellations between…

High Energy Physics - Theory · Physics 2010-11-19 Ian G. Moss , James P. Norman

This paper is the completion of an earlier work arXiv:1207.4867 which involves the derivation of oblique corrections in the MSSM at one loop. In terms of the two-component spinor formalism, which is new in compared with those used in the…

High Energy Physics - Phenomenology · Physics 2012-12-27 Yao Yu , Sibo Zheng

We consider the three-loop corrections to the static potential which are induced by a closed fermion loop. For the reduction of the occurring integrals a combination of the Gr\"obner and Laporta algorithm has been used and the evaluation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

We revise the calculation of the one-loop effective action for scalar and spinor fields coupled to the dilaton in two dimensions. Applying the method of covariant perturbation theory for the heat kernel we derive the effective action in an…

High Energy Physics - Theory · Physics 2016-09-06 Yu. V. Gusev , A. I. Zelnikov

We use the fermionic construction of two-matrix model partition functions to evaluate integrals over rational symmetric functions. This approach is complementary to the one used in the paper ``Integrals of Rational Symmetric Functions,…

Mathematical Physics · Physics 2009-02-19 John Harnad , Alexander Yu. Orlov

We study the quantum gravitational system coupled to a charged scalar, Dirac fermions, and electromagnetic fields. We use the "exact" or "functional" renormalization group equation to derive the effective action $\Gamma_0$ by integrating…

High Energy Physics - Theory · Physics 2020-10-28 Nobuyoshi Ohta , Leslaw Rachwal

We study the one-loop quantum corrections for higher-derivative superfield theories, generalizing the approach for calculating the superfield effective potential. In particular, we calculate the effective potential for two versions of…

High Energy Physics - Theory · Physics 2009-11-23 M. Gomes , J. R. Nascimento , A. Yu. Petrov , A. J. da Silva

We calculate the complete one-loop effective action for a spherical scalar field collapse in the large radius approximation. This action gives the complete trace anomaly, which beside the matter loop contributions, receives a contribution…

High Energy Physics - Theory · Physics 2009-01-16 A. Mikovic , V. Radovanovic

We calculate the 2-loop partition function of QCD on the lattice, using the Wilson formulation for gluons and the overlap-Dirac operator for fermions. Direct by-products of our result are the 2-loop free energy and average plaquette. Our…

High Energy Physics - Lattice · Physics 2009-11-10 A. Athenodorou , H. Panagopoulos

We work with $\phi^4$ theory and study the 4PI effective action at 3-loop order. We discuss the relationship between the equations of motion obtained by taking functional derivatives of the effective action with respect to the variational…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. E. Carrington

This is a report on our newly proposed model of dynamical supersymmetry breaking with some details of the analysis involved. The model in the simplest version has only a chiral superfield (multiplet), with a strong four-superfield…

High Energy Physics - Theory · Physics 2016-03-03 Yifan Cheng , Yan-Min Dai , Gaber Faisel , Otto C. W. Kong

We apply the recently proposed amplitude reduction at the integrand level method, to the computation of the scattering process 2 photons -> 4 photons, including the case of a massive fermion loop. We also present several improvements of the…

High Energy Physics - Phenomenology · Physics 2009-04-21 Giovanni Ossola , Costas G. Papadopoulos , Roberto Pittau

Expansion of model Nambu-Jona-Lasinio is considered and on its basis an effective lagrangian for mesons, baryons and baryon - meson interaction has been obtained.

High Energy Physics - Phenomenology · Physics 2007-05-23 S. S. Olean

We evaluate several quantities appearing in the effective lagrangian for the color-flavor locked phase of high density QCD using a formalism which exploits the approximate decoupling of fermions with energy negative with respect to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Casalbuoni , R. Gatto , G. Nardulli

Chapter one is devoted to a study of fermions and bosons in two spatial dimensions in external electromagnetic fields. The effectve action is calculated by integrating out the matter fields. In chapter two, I investigate the resummation…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. O. Andersen

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for…

High Energy Physics - Theory · Physics 2015-08-14 A. Andrasi , J. C. Taylor

The second order formalism for fermions provides a description of fermions that is very similar to that of scalars. We demonstrate that this second order formalism is equivalent to the standard Dirac formalism. We do so in terms of the…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. G. Morgan