scholarly journals Yang-Mills observables: from KMOC to eikonal through EFT

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Leonardo de la Cruz ◽  
Andres Luna ◽  
Trevor Scheopner
Keyword(s):  
Field Theory ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Direct Integration ◽  
Spinning Particles ◽  
Yang Mills ◽  
Domain Of Applicability

Abstract We obtain a conservative Hamiltonian describing the interactions of two charged bodies in Yang-Mills through $$ \mathcal{O}\left({\alpha}^2\right) $$ O α 2 and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory (EFT) to consider color-charged objects. These results are checked against the direct integration of the observables in the Kosower-Maybee-O’Connell (KMOC) formalism. At the order we consider we find that the linear and color impulses in a scattering event can be concisely described in terms of the eikonal phase, thus extending the domain of applicability of a formula originally proposed in the context of spinning particles.

scholarly journals ON RENORMALIZABILITY OF THE EFFECTIVE FIELD THEORY OF MASSIVE YANG–MILLS FIELDS

2012 ◽  
Vol 27 (23) ◽  
pp. 1250128 ◽  
Author(s):  
J. GEGELIA ◽  
G. JAPARIDZE
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Vector Boson ◽  
Effective Field ◽  
Boson Mass ◽  
Yang Mills

Effective field theory (EFT) of massive Yang–Mills fields interacting with fermions is considered. Perturbative renormalizability in the framework of EFT is shown. It is argued that the limit of vanishing vector boson mass leads to massless gauge EFT. Possible relevance for the solution to the strong CP problem is discussed.

scholarly journals Quadratic-in-spin Hamiltonian at $$ \mathcal{O} $$(G2) from scattering amplitudes

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Dimitrios Kosmopoulos ◽  
Andres Luna
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Spin Hamiltonian ◽  
Minimal Coupling ◽  
Spinning Bodies

Abstract We obtain the quadratic-in-spin terms of the conservative Hamiltonian describing the interactions of a binary of spinning bodies in General Relativity through $$ \mathcal{O} $$ O (G2) and to all orders in velocity. Our calculation extends a recently-introduced framework based on scattering amplitudes and effective field theory to consider non-minimal coupling of the spinning objects to gravity. At the order that we consider, we establish the validity of the formula proposed in [1] that relates the impulse and spin kick in a scattering event to the eikonal phase.

scholarly journals Spinning black hole binary dynamics, scattering amplitudes, and effective field theory

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Zvi Bern ◽  
Andres Luna ◽  
Radu Roiban ◽  
Chia-Hsien Shen ◽  
Mao Zeng
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Scattering Amplitudes ◽  
Effective Field Theory ◽  
Effective Field ◽  
Black Hole Binary

scholarly journals N=4 supersymmetric Yang-Mills thermodynamics from effective field theory

2022 ◽  
Vol 105 (1) ◽  
Author(s):  
Jens O. Andersen ◽  
Qianqian Du ◽  
Michael Strickland ◽  
Ubaid Tantary
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Yang Mills

ISSUES OF EFFECTIVE FIELD THEORIES WITH RESONANCES

2014 ◽  
Vol 26 ◽  
pp. 1460094
Author(s):  
JAMBUL GEGELIA ◽  
GEORGE JAPARIDZE
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Axial Current ◽  
Effective Field ◽  
Field Theories ◽  
Yang Mills ◽  
Unstable Particles

We address some issues of renormalization and symmetries of effective field theories with unstable particles - resonances. We also calculate anomalous contributions in the divergence of the singlet axial current in an effective field theory of massive SU(N) Yang-Mills fields interacting with fermions and discuss their possible relevance to the strong CP problem.

scholarly journals Resolving spacetime singularities in flux compactifications & KKLT

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Federico Carta ◽  
Jakob Moritz
Keyword(s):  
Field Theory ◽  
Flux Compactifications ◽  
Effective Field Theory ◽  
Bound States ◽  
Effective Field ◽  
Low Energy ◽  
De Sitter ◽  
Yang Mills ◽  
Type Iib String Theory ◽  
De Sitter Vacuum

Abstract In flux compactifications of type IIB string theory with D3 and seven-branes, the negative induced D3 charge localized on seven-branes leads to an apparently pathological profile of the metric sufficiently close to the source. With the volume modulus stabilized in a KKLT de Sitter vacuum this pathological region takes over a significant part of the entire compactification, threatening to spoil the KKLT effective field theory. In this paper we employ the Seiberg-Witten solution of pure SU(N) super Yang-Mills theory to argue that wrapped seven-branes can be thought of as bound states of more microscopic exotic branes. We argue that the low-energy worldvolume dynamics of a stack of n such exotic branes is given by the (A1, An−1) Argyres-Douglas theory. Moreover, the splitting of the perturbative (in α′) seven-brane into its constituent branes at the non-perturbative level resolves the apparently pathological region close to the seven-brane and replaces it with a region of $$ \mathcal{O} $$ O (1) Einstein frame volume. While this region generically takes up an $$ \mathcal{O} $$ O (1) fraction of the compactification in a KKLT de Sitter vacuum we argue that a small flux superpotential dynamically ensures that the 4d effective field theory of KKLT remains valid nevertheless.

Effective Field Theory in Particle Physics and Cosmology

2020 ◽  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Large Scale ◽  
Effective Field ◽  
Effective Theory ◽  
Soft Collinear Effective Theory ◽  
Multiple Length Scales ◽  
Cosmological Observations ◽  
Standard Models

Effective field theory (EFT) is a general method for describing quantum systems with multiple-length scales in a tractable fashion. It allows us to perform precise calculations in established models (such as the standard models of particle physics and cosmology), as well as to concisely parametrize possible effects from physics beyond the standard models. EFTs have become key tools in the theoretical analysis of particle physics experiments and cosmological observations, despite being absent from many textbooks. This volume aims to provide a comprehensive introduction to many of the EFTs in use today, and covers topics that include large-scale structure, WIMPs, dark matter, heavy quark effective theory, flavour physics, soft-collinear effective theory, and more.

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