Low energy signatures of nonlocal field theories

The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties that effective theories should possess in order not to fall in the swampland, and we give an overview of their main applications to particle physics. The latter include predictions on neutrino masses, bounds on the cosmological constant, the electroweak and QCD scales, the photon mass, the Higgs potential and some insights about supersymmetry.

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Interface junctions in QCD${}_4$

SciPost Physics ◽

10.21468/scipostphys.10.4.085 ◽

2021 ◽

Vol 10 (4) ◽

Author(s):

Pranay Gorantla ◽

Ho Tat Lam

Keyword(s):

Effective Field Theories ◽

Quantum Chromodynamics ◽

Effective Field ◽

Low Energy ◽

Coupling Constants ◽

Field Theories ◽

Scalar Theory ◽

Complex Mass ◽

Spatially Varying ◽

Chern Simons

We study 3+1 dimensional SU(N)SU(N) Quantum Chromodynamics (QCD) with N_fNf degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain these defects. Based on the chiral Lagrangian and the conjectures on the interfaces, characterized by a spatially varying \thetaθ-parameter, we propose a low-energy description of such networks of interfaces. Interestingly, we observe that the operators in the effective field theories on the junctions can carry baryon charges, and their spin and isospin representations coincide with baryons. We also study defects, characterized by spatially varying coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a 3+1 dimensional real scalar theory.

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Transmission of information in nonlocal field theories

Physical Review D ◽

10.1103/physrevd.96.116006 ◽

2017 ◽

Vol 96 (11) ◽

Cited By ~ 2

Author(s):

Alessio Belenchia ◽

Dionigi M. T. Benincasa ◽

Stefano Liberati ◽

Eduardo Martín-Martínez

Keyword(s):

Field Theories ◽

Transmission Of Information ◽

Nonlocal Field

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ON THE EFFECTIVE ACTION IN FIELD THEORIES WITH DYNAMICAL SYMMETRY BREAKING

Modern Physics Letters A ◽

10.1142/s0217732391002876 ◽

1991 ◽

Vol 06 (26) ◽

pp. 2443-2452 ◽

Cited By ~ 10

Author(s):

V. P. GUSYNIN ◽

V. A. MIRANSKY

Keyword(s):

Symmetry Breaking ◽

Effective Action ◽

Green's Functions ◽

Green’S Functions ◽

Dynamical Symmetry ◽

Low Energy ◽

Field Theories ◽

Dynamical Symmetry Breaking ◽

Derivatives Of

An approach to the low energy effective action based on the formalism of Green's functions of composite is developed in field theories with dynamical symmetry breaking. The effective action of the gauged Nambu-Jona-Lasinio model is derived as a series in powers of the derivatives of composite fields. The mechanism of scale symmetry breaking in this model is discussed.

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Effective Field Theories

Particles ◽

10.3390/particles3020020 ◽

2020 ◽

Vol 3 (2) ◽

pp. 245-271 ◽

Cited By ~ 2

Author(s):

Andrey Grozin

Keyword(s):

Effective Field Theories ◽

Degrees Of Freedom ◽

Effective Field ◽

Low Energy ◽

Field Theories ◽

Alternative View ◽

Heavy Particles ◽

Technical Complications ◽

Effective Theories

This paper represents a pedagogical introduction to low-energy effective field theories. In some of them, heavy particles are “integrated out” (a typical example—the Heisenberg–Euler EFT); in some, heavy particles remain but some of their degrees of freedom are “integrated out” (Bloch–Nordsieck EFT). A large part of these lectures is, technically, in the framework of QED. QCD examples, namely decoupling of heavy flavors and HQET, are discussed only briefly. However, effective field theories of QCD are very similar to the QED case, and there are just some small technical complications: more diagrams, color factors, etc. The method of regions provides an alternative view at low-energy effective theories; this is also briefly introduced.

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Power counting and Wilsonian renormalization in nuclear effective field theory

International Journal of Modern Physics E ◽

10.1142/s021830131641007x ◽

2016 ◽

Vol 25 (05) ◽

pp. 1641007 ◽

Cited By ~ 22

Author(s):

Manuel Pavón Valderrama

Keyword(s):

Field Theory ◽

Effective Field Theories ◽

Effective Field Theory ◽

Nuclear Physics ◽

High Energy ◽

Effective Field ◽

Power Counting ◽

Low Energy ◽

Field Theories ◽

Nuclear Forces

Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate predictions with reliable error estimates, a feature that is called power counting. These properties can be easily understood in Wilsonian renormalization, in which effective field theories are the low energy renormalization group evolution of a more fundamental — perhaps unknown or unsolvable — high energy theory. In nuclear physics they provide the possibility of a theoretically sound derivation of nuclear forces without having to solve quantum chromodynamics explicitly. However there is the problem of how to organize calculations within nuclear effective field theory: the traditional knowledge about power counting is perturbative but nuclear physics is not. Yet power counting can be derived in Wilsonian renormalization and there is already a fairly good understanding of how to apply these ideas to non-perturbative phenomena and in particular to nuclear physics. Here we review a few of these ideas, explain power counting in two-nucleon scattering and reactions with external probes and hint at how to extend the present analysis beyond the two-body problem.

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Holographic entanglement entropy of nonlocal field theories

Physical Review D ◽

10.1103/physrevd.89.126005 ◽

2014 ◽

Vol 89 (12) ◽

Cited By ~ 4

Author(s):

Da-Wei Pang

Keyword(s):

Entanglement Entropy ◽

Field Theories ◽

Holographic Entanglement Entropy ◽

Nonlocal Field

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ON THE CONFORMAL ANOMALY FROM HIGHER DERIVATIVE GRAVITY IN AdS/CFT CORRESPONDENCE

International Journal of Modern Physics A ◽

10.1142/s0217751x00000197 ◽

2000 ◽

Vol 15 (03) ◽

pp. 413-428 ◽

Cited By ~ 115

Author(s):

SHIN'ICHI NOJIRI ◽

SERGEI D. ODINTSOV

Keyword(s):

Effective Action ◽

Einstein Gravity ◽

Low Energy ◽

Field Theories ◽

Conformal Anomaly ◽

Two Dimensional ◽

Conformal Field Theories ◽

Yang Mills ◽

Conformal Field ◽

Higher Derivative

We follow Witten's proposal1 in the calculation of conformal anomaly from (d + 1)-dimensional higher derivative gravity via AdS/CFT correspondence. It is assumed that some d-dimensional conformal field theories have a description in terms of above (d + 1)-dimensional higher derivative gravity which includes not only the Einstein term and cosmological constant but also curvature squared terms. The explicit expression for two-dimensional and four-dimensional anomalies is found, it contains higher derivative corrections. In particular, it is shown that not only Einstein gravity but also theory with the Lagrangian L =aR2 + bRμνRμν + Λ (even when a=0 or b=0) is five-dimensional bulk theory for [Formula: see text] super-Yang–Mills theory in AdS/CFT correspondence. Similarly, the d + 1 = 3 theory with (or without) Einstein term may describe d = 2 scalar or spinor CFT's. That gives new versions of bulk side which may be useful in different aspects. As application of our general formalism we find next-to-leading corrections to the conformal anomaly of [Formula: see text] supersymmetric theory from d = 5 AdS higher derivative gravity (low energy string effective action).

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Higgs mechanism in nonlocal field theories

Journal of High Energy Physics ◽

10.1007/jhep08(2018)064 ◽

2018 ◽

Vol 2018 (8) ◽

Cited By ~ 4

Author(s):

Manami Noumi Hashi ◽

Hiroshi Isono ◽

Toshifumi Noumi ◽

Gary Shiu ◽

Pablo Soler

Keyword(s):

Higgs Mechanism ◽

Field Theories ◽

Nonlocal Field

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