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The character of quantum corrections to the gravitational action of a conformally invariant field theory for a self-interacting scalar field on a manifold with boundary is considered at third loop-order in the perturbative expansion of the…

High Energy Physics - Theory · Physics 2009-11-07 George Tsoupros

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

The Universal One-Loop Effective Action (UOLEA) is a general expression for the effective action obtained by evaluating in a model-independent way the one-loop expansion of a functional path integral. It can be used to match UV theories to…

High Energy Physics - Phenomenology · Physics 2017-09-13 Sebastian A. R. Ellis , Jérémie Quevillon , Tevong You , Zhengkang Zhang

Polyakov's calculation of the effective action for the 2d nonlinear sigma-Model is generalized by purely analytic means to include contributions which are not UV-divergent and which depend on the choice of block spin. An analytic…

High Energy Physics - Lattice · Physics 2009-10-31 M. Bartels , G. Mack , G. Palma

A general Lefschetz formula for the geodesic action on locally symmetric spaces is proven.

Differential Geometry · Mathematics 2007-05-23 Anton Deitmar

We present a systematic study of one-loop quantum corrections in scalar effective field theories from a geometric viewpoint, emphasizing the role of field-space curvature and its renormalisation. By treating the scalar fields as coordinates…

High Energy Physics - Theory · Physics 2025-07-28 Patrick Aigner , Luigi Bellafronte , Emanuele Gendy , Dominik Haslehner , Andreas Weiler

Scalar field theory on the fuzzy two-sphere, represented as a hermitian matrix model that includes kinetic, mass and quartic interaction terms, is studied. The effective action in the symmetric large-N regime is analyzed using a…

High Energy Physics - Theory · Physics 2020-03-06 Alexios P. Polychronakos

We derive useful reduction formulae which express one-loop Feynman integrals with a large number of external momenta in terms of lower-point integrals carrying easily derivable kinematic coefficients which are symmetric in the external…

High Energy Physics - Phenomenology · Physics 2021-04-21 Guy R. Jehu

The available data on the 125 GeV scalar $h$ is analysed to explore the room for new physics in the electroweak symmetry breaking sector. The first part of the study is model-independent, with $h$ couplings to standard model particles…

High Energy Physics - Phenomenology · Physics 2018-12-05 Atri Dey , Jayita Lahiri , Biswarup Mukhopadhyaya

We consider the one loop effective action in four dimensional Euclidean space for a background chiral field coupled to a spinor field. It proves possible to find an exact expression for this action if the mass $m$ of the spinor vanishes. If…

High Energy Physics - Theory · Physics 2011-12-06 F. T. Brandt , D. G. C. McKeon , A. Patrushev

In an effort to understand the physical implications of the newly discovered non-trivial directions in scalar field theory, we compute lowest order scattering amplitudes, cross sections, and the 1-loop effective potential. To lowest order,…

High Energy Physics - Theory · Physics 2016-08-25 Kenneth Halpern

Effective field theories encode the predictions of a quantum field theory at low energy. The effective theory has a fairly low ultraviolet cutoff. As a result, loop corrections are small, at least if the effective action contains a term…

High Energy Physics - Lattice · Physics 2015-06-25 G. Mack , T. Kalkreuter , G. Palma , M. Speh

In this paper, we provide an approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions and discuss the application of this approach in some physical problems. Concretely, we construct the…

High Energy Physics - Theory · Physics 2014-11-21 Wu-Sheng Dai , Mi Xie

We consider the one-loop effective potential at zero temperature in field theories with anisotropic space-time scaling, with critical exponent $z=3$, including scalar, fermion and gauge fields. The fermion determinant generates a symmetry…

High Energy Physics - Theory · Physics 2015-06-04 K. Farakos

The explicit expression of all the WZW effective actions for a simple group G broken down to a subgroup H is established in a simple and direct way, and the formal similarity of these actions to the Chern-Simons forms is explained.…

High Energy Physics - Theory · Physics 2009-10-30 J. A. de Azcarraga , A. J. Macfarlane , J. C. Perez Bueno

I give some scalar field theory calculations on a d-dimensional lune of arbitrary angle, evaluating, numerically, the effective action which is expressed as a simple quadrature, for conformal coupling. Using this, the entanglement and Renyi…

High Energy Physics - Theory · Physics 2015-06-12 J. S. Dowker

We apply the covariant derivative expansion of the Coleman-Weinberg potential to the sfermion sector in the minimal supersymmetric standard model, matching it to the relevant dimension-6 operators in the standard model effective field…

High Energy Physics - Phenomenology · Physics 2018-04-25 Ran Huo

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

We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field…

High Energy Physics - Theory · Physics 2018-07-04 David J. Toms

We introduce a new Symanzik improved action by adding a 2x2 plaquette in such a way that the Feynman rules in the covariant gauge simplify. We call this the square Symanzik action. Some comparisons with the continuum and the standard Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Jeroen Snippe , Pierre van Baal