scholarly journals A nonlinear scalar model of extreme mass ratio inspirals in effective field theory: I. Self-force through third order

2011 ◽  
Vol 29 (1) ◽  
pp. 015010 ◽  
Author(s):  
Chad R Galley
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Mass Ratio ◽  
Scalar Model ◽  
Third Order ◽  
Self Force

scholarly journals Comments on initial conditions for the Abraham–Lorentz(–Dirac) equation

2015 ◽  
Vol 30 (02) ◽  
pp. 1550011 ◽  
Author(s):  
Ofek Birnholtz
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Dirac Equation ◽  
Electric Charge ◽  
Effective Field Theory ◽  
Initial Conditions ◽  
Effective Field ◽  
Dirac Equations ◽  
Incoming Radiation ◽  
Self Force

An accelerating electric charge coupled to its own electromagnetic field both emits radiation and experiences the radiation's reaction as a (self-)force. Considering the system from an Effective Field Theory perspective, and using the physical initial conditions of no incoming radiation can help resolve many of the problems associated with the often considered "notorious" Abraham–Lorentz/Abraham–Lorentz–Dirac equations.

scholarly journals Optical theorem and indefinite metric in λϕ4 delta-theory

2020 ◽  
Vol 35 (33) ◽  
pp. 2050214
Author(s):  
Ricardo Avila ◽  
Carlos M. Reyes
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Coupling Parameter ◽  
Effective Field ◽  
Optical Theorem ◽  
Indefinite Metric ◽  
Quantum Field ◽  
Scalar Model ◽  
Loop Order ◽  
Interaction Term

A class of effective field theory called delta-theory, which improves ultraviolet divergences in quantum field theory, is considered. We focus on a scalar model with a quartic self-interaction term and construct the delta theory by applying the so-called delta prescription. We quantize the theory using field variables that diagonalize the Lagrangian, which include a standard scalar field and a ghost or negative norm state. As well known, the indefinite metric may lead to the loss of unitary of the [Formula: see text]-matrix. We study the optical theorem and check the validity of the cutting equations for three processes at one-loop order, and found suppressed violations of unitarity in the delta coupling parameter of the order of [Formula: see text].

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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