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We review the method of uniqueness which is a powerful technique for multi-loop calculations in higher dimensional theories with conformal symmetry. We use the method in momentum space and show that it allows a very transparent evaluation…

High Energy Physics - Theory · Physics 2017-04-06 S. Teber , A. V. Kotikov

Diffusion is a dissipative transport phenomenon ubiquitously present in nature. Its details can now be analysed with modern effective field theory (EFT) techniques that use the closed-time-path (or Schwinger-Keldysh) formalism. We discuss…

High Energy Physics - Theory · Physics 2024-10-03 Sašo Grozdanov , Timotej Lemut , Jaka Pelaič , Alexander Soloviev

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

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

We develop the calculation of the divergent part of one-loop covariant effective action for scalar fields minimally and non-minimally coupled to gravity using the generalized Schwinger-DeWitt technique. We derive the field-space metric…

High Energy Physics - Theory · Physics 2021-10-08 Sandeep Aashish , Sukanta Panda , Abbas Altafhussain Tinwala , Archit Vidyarthi

Effective Field Theory calculations used in countless phenomenological analyses employ dimensional regularization, and at intermediate stages of computations, the operator bases extend beyond the four-dimensional ones. The extra pieces --…

High Energy Physics - Phenomenology · Physics 2023-02-09 Javier Fuentes-Martín , Matthias König , Julie Pagès , Anders Eller Thomsen , Felix Wilsch

Making use of the geometric formulation of the Standard Model Effective Field Theory we calculate the one-loop tadpole diagrams to all orders in the Standard Model Effective Field Theory power counting. This work represents the first…

High Energy Physics - Phenomenology · Physics 2022-02-07 T. Corbett

A method is presented for the computation of the one-loop effective action at finite temperature and density. The method is based on an expansion in the number of spatial covariant derivatives. It applies to general background field…

High Energy Physics - Theory · Physics 2016-08-15 C. García-Recio , L. L. Salcedo

We initiate the calculation of loop corrections to correlation functions in 4D defect CFTs. More precisely, we consider N=4 SYM with a codimension-one defect separating two regions of space, x_3>0 and x_3<0, where the gauge group is SU(N)…

High Energy Physics - Theory · Physics 2016-12-20 Isak Buhl-Mortensen , Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

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

The existence of a positive linear functional acting on the space of (differences between) conformal blocks has been shown to rule out regions in the parameter space of conformal field theories (CFTs). We argue that at the boundary of the…

High Energy Physics - Theory · Physics 2015-06-12 Sheer El-Showk , Miguel F. Paulos

We present here a short and subjective review of methods for calculating charge transfer couplings. Although we mostly focus on Density Functional Theory, we discuss a small subset of semiempirical methods as well as the…

Materials Science · Physics 2015-08-13 Pablo Ramos , Marc Mankarious , Michele Pavanello

The derivative expansion of the one-loop effective action in QED$_3$ and QED$_4$ is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term…

High Energy Physics - Theory · Physics 2009-10-31 V. P. Gusynin , I. A. Shovkovy

We consider the one-loop effective action due to a spinor loop coupled to an abelian vector and axial vector field background. After rewriting this effective action in terms of an auxiliary non-abelian gauge connection, we use the De Witt…

High Energy Physics - Theory · Physics 2009-10-31 D. G. C. McKeon , C. Schubert

We simplify the one-loop functional matching formalism to develop a streamlined prescription. The functional approach is conceptually appealing: all calculations are performed within the UV theory at the matching scale, and no prior…

High Energy Physics - Phenomenology · Physics 2021-03-17 Timothy Cohen , Xiaochuan Lu , Zhengkang Zhang

Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as…

High Energy Physics - Phenomenology · Physics 2021-03-17 Sebastian A. R. Ellis , Jérémie Quevillon , Pham Ngoc Hoa Vuong , Tevong You , Zhengkang Zhang

In this article, we propose a new numerical approach to high-dimensional partial differential equations (PDEs) arising in the valuation of exotic derivative securities. The proposed method is extended from Reisinger and Wittum (2007) and…

Computational Finance · Quantitative Finance 2013-10-04 Christoph Reisinger , Rasmus Wissmann

We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

High Energy Physics - Theory · Physics 2011-07-22 Sang Pyo Kim

We implement the effective field theory (EFT) approach to dark energy and modified gravity in the public Einstein-Boltzmann solver CAMB. The resulting code, which we dub EFTCAMB, is a powerful and versatile tool that can be used for several…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-28 Bin Hu , Marco Raveri , Noemi Frusciante , Alessandra Silvestri

Effective field theories (EFTs) provide an excellent framework for the search of heavy physics beyond the Standard Model, using the so-called bottom-up and top-down approaches. However, the vastness of possible UV scenarios makes the…

High Energy Physics - Phenomenology · Physics 2026-04-24 Guilherme Guedes , Pablo Olgoso