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This is a technical work about how to evaluate loop integrals appearing in one loop nonplanar (NP) diagrams in noncommutative (NC) field theory. The conventional wisdom says that, barring the ultraviolet/infrared (UV/IR) mixing problem, NP…

High Energy Physics - Theory · Physics 2009-11-10 Yi Liao

We discuss the connection between the perturbative and non-perturbative renormalization and related conceptual issues in the few-nucleon sector of the low-energy effective field theory of the strong interactions. General arguments are…

Nuclear Theory · Physics 2018-11-14 E. Epelbaum , A. M. Gasparyan , J. Gegelia , Ulf-G. Meißner

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

We discuss the approach of effective field theory on a d-dimensional Euclidean space in a scalar theory with two different mass scales in the presence of flat surfaces. Then considering Dirichlet and Neumann boundary conditions, we…

High Energy Physics - Theory · Physics 2008-11-26 M. I. Caicedo , N. F. Svaiter

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

Nonrelativstic effective field theories have shown to be a useful framework to describe systems of weakly bound particles. This work focuses on the matching procedure to the underlying relativistic theory. The concept of a physical mass in…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Gall

By using the renormalization group (RG) equation it has proved possible to sum logarithmic corrections to quantities that arise due to quantum effects in field theories. In particular, the effective potential V in the Standard Model in the…

High Energy Physics - Theory · Physics 2017-01-27 F. T. Brandt , F. A. Chishtie , D. G. C. McKeon

Motivated by past and recent analyses we critically re-examine the use of effective lagrangians in the literature to constrain new physics and to determine the `physics reach' of future experiments. We demonstrate that many calculations,…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. P. Burgess , David London

Low-energy effective field theories containing a light scalar field are used extensively in cosmology, but often there is a tension between embedding such theories in a healthy UV completion and achieving a phenomenologically viable…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Anne-Christine Davis , Scott Melville

A derivation of the one-loop effective Lagrangian in the self-interacting $O(N)$ scalar theory, in slowly varying gravitational fields, is presented (using $\zeta$-regularization and heat-kernel techniques). The result is given in terms of…

High Energy Physics - Theory · Physics 2009-09-17 Emilio Elizalde , Klaus Kirsten , Sergei Odintsov

We clarify the notion of Wilsonian renormalization group (RG) invariance in supersymmetric gauge theories, which states that the low-energy physics can be kept fixed when one changes the ultraviolet cutoff, provided appropriate changes are…

High Energy Physics - Theory · Physics 2016-09-06 Nima Arkani-Hamed , Hitoshi Murayama

A new attempt is demonstrated that QFTs can be UV finite if they are viewed as the low energy effective theories of a fundamental underlying theory (that is complete and well-defined in all respects) according to the modern standard point…

High Energy Physics - Theory · Physics 2007-05-23 Jifeng Yang

The renormalization of effective potential for the noncommutative scalar field theory is investigated to the two-loop approximation. It is seen that the nonplanar diagram does not appear in the one-loop potential. However, nonplanar diagram…

High Energy Physics - Theory · Physics 2009-10-31 Wung-Hong Huang

We discuss some applications of the effective quantum field theory to the description of the physics beyond the Standard Model. We consider two different examples. In the first one we derive, at the one-loop level, an effective lagrangian…

High Energy Physics - Phenomenology · Physics 2016-09-01 Mikhail Bilenky , Arcadi Santamaria

We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach. We present a self-contained (ambiguity-free) computation of the renormalized…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Stefano Foffa , Rafael A. Porto , Ira Rothstein , Riccardo Sturani

We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out the heavy fields of a given ultraviolet theory. We show that the matching coefficients are determined entirely by the…

High Energy Physics - Phenomenology · Physics 2016-10-03 Javier Fuentes-Martin , Jorge Portoles , Pedro Ruiz-Femenia

We investigate the renormalization of ``nonlocal'' interactions in an effective field theory using dimensional regularization with minimal subtraction. In a scalar field theory, we write an integro-differential renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Bhansali , H. Georgi

Standard perturbation theory (SPT) for large-scale matter inhomogeneities is unsatisfactory for at least three reasons: there is no clear expansion parameter since the density contrast is not small on all scales; it does not fully account…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Enrico Pajer , Matias Zaldarriaga

We assume that the noncommutativity starts to be visible continuously from a scale $\Lambda_{NC}$. According to this assumption, a two-loop effective action is derived for noncommutative $\phi^{4}$ and $\phi^{3}$ theories from a Wilsonian…

High Energy Physics - Theory · Physics 2008-11-26 B. Mirza , M. Zarei

From general supergravity theory with unified gauge symmetry, we obtain the low-energy effective Lagrangian by taking the flat limit and integrating out the superheavy fields in model-independent manner. The scalar potential possesses some…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yoshiharu Kawamura