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The exact solutions for linear cosmological perturbations which have been obtained for collisionless relativistic matter within thermal field theory are extended to a self-interacting case. The two-loop contributions of scalar…

General Relativity and Quantum Cosmology · Physics 2009-12-30 H. Nachbagauer , A. K. Rebhan , D. J. Schwarz

Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3)…

High Energy Physics - Lattice · Physics 2016-09-01 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

The ultraviolet divergences of amplitude diagrams in maximal supergravity are investigated using the pure spinor superfield formalism in maximal supergravity, with maximally supersymmetric Yang-Mills theory for reference. We comment on the…

High Energy Physics - Theory · Physics 2015-08-18 Anna Karlsson

I present a novel Four-Dimensional Regularization/Renormalization approach (FDR) to ultraviolet divergences in field theories which can be interpreted as a natural separation between physical and non physical degrees of freedom. Based on…

High Energy Physics - Phenomenology · Physics 2012-12-03 Roberto Pittau

Using the Schwinger-Keldysh-formalism, reformulated in arXiv:2108.01695 as an effective field theory in Euclidean anti-de Sitter, we evaluate the one-loop cosmological four-point function of a conformally coupled interacting scalar field in…

High Energy Physics - Theory · Physics 2022-09-07 T. Heckelbacher , I. Sachs , E. Skvortsov , P. Vanhove

We consider a self-interacting scalar field theory in a slowly varying gravitational background field. Using zeta-function regularization and heat-kernel techniques, we derive the one-loop effective Lagrangian up to second order in the…

High Energy Physics - Theory · Physics 2009-10-22 Klaus Kirsten , Guido Cognola , Luciano Vanzo

We study global quenches in a number of interacting quantum field theory models away from the conformal regime. We conduct a perturbative renormalization at one-loop level and track the modifications of the quench protocol induced by the…

High Energy Physics - Theory · Physics 2019-01-30 Mikhail Goykhman , Tom Shachar , Michael Smolkin

We present a theoretical study of the Wichmann and Kroll correction to the one-loop vacuum polarization (VP) to all-orders in $\alpha Z$. We consider electronic, muonic, and antiprotonic atoms for a wide range of nuclear charge numbers and…

Atomic Physics · Physics 2026-01-16 Jonas Sommerfeldt , Paul Indelicato

We analyse the phenomenological implications of a particular class of supersymmetric models with additional space-time dimensions below the unification scale. Assuming the unification of the gauge couplings and using a two-loop calculation…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Ghilencea , G. G. Ross

We study scale invariance at the quantum level (three loops) in a perturbative approach. For a scale-invariant classical theory the scalar potential is computed at three-loop level while keeping manifest this symmetry. Spontaneous scale…

High Energy Physics - Theory · Physics 2018-07-27 D. M. Ghilencea

The invariance of physical observables under redefinitions of the quantum fields is a well-known and important property of quantum field theory. We study perturbative field redefinitions in effective theories, paying special attention to…

High Energy Physics - Phenomenology · Physics 2019-09-23 Juan Carlos Criado , Manuel Perez-Victoria

We show that the perturbation series for quarkonia energies diverges at large orders. This results in a perturbative ambiguity in the energy that scales as e^(-1/a*Lambda) where a is the Bohr radius of quarkonium and Lambda is the QCD scale…

High Energy Physics - Phenomenology · Physics 2009-10-30 Martin C. Smith , T. Stelzer , S. Willenbrock

Non-decoupling effects of heavy scalars and vector fields play an important role in the indirect search of Beyond the Standard Model (BSM) physics at the LHC. By exploiting some new differential equations for the 1-PI amplitudes, we show…

High Energy Physics - Phenomenology · Physics 2024-02-13 Andrea Quadri

Understanding the implication of positivity bounds on loop-generated dim-8 operator coefficients is a nontrivial task, as these bounds only strictly hold when all the contributions are included in the dispersion relation up to a certain…

High Energy Physics - Phenomenology · Physics 2025-10-14 Yunxiao Ye , Xiao Cao , Yu-Hang Wu , Jiayin Gu

We consider a self-interacting, massive, real scalar field on a four-dimensional globally hyperbolic spacetime and the associated stress-energy tensor. Using techniques proper of the algebraic approach to perturbative quantum field theory,…

Mathematical Physics · Physics 2025-04-09 Beatrice Costeri , Claudio Dappiaggi , Michele Goi

We derive constraints on the color-ordered amplitudes of the L-loop four-point function in SU(N) gauge theories that arise solely from the structure of the gauge group. These constraints generalize well-known group theory relations, such as…

High Energy Physics - Theory · Physics 2015-05-30 Stephen G. Naculich

We generalize unitarity bounds on operator dimensions in conformal field theory to field theories with spacetime dependent couplings. Below the energy scale of spacetime variation of the couplings, their evolution can strongly affect the…

High Energy Physics - Theory · Physics 2013-08-07 Xi Dong , Bart Horn , Eva Silverstein , Gonzalo Torroba

We reconsider the problem of discretising the worldsheet for the gauge-fixed Green-Schwarz superstring on a null cusp background, and present a setup which fully preserves its global $U(1)\times SU(4)$ symmetry. We discuss divergences by…

High Energy Physics - Lattice · Physics 2022-05-04 Gabriel Bliard , Ilaria Costa , Valentina Forini , Agostino Patella

In this paper we explicitly evaluate the one-loop effective action in four dimensions for scalar and spinor fields under the influence of a strong, covariantly constant, magnetic field in curved spacetime. In the framework of zeta function…

High Energy Physics - Theory · Physics 2009-10-02 Guglielmo Fucci

The $\phi^4$ model has been the "workhorse" of the classical Ginzburg--Landau phenomenological theory of phase transitions and, furthermore, the foundation for a large amount of the now-classical developments in nonlinear science. However,…

High Energy Physics - Theory · Physics 2019-03-04 Avadh Saxena , Ivan C. Christov , Avinash Khare
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