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 Building Atomic Nuclei with the Dirac Equation

2004 ◽  
Vol 19 (supp01) ◽  
pp. 107-118 ◽  
Author(s):  
Brian D. Serot
Keyword(s):  
Field Theory ◽  
Density Functional Theory ◽  
Dirac Equation ◽  
Nuclear Structure ◽  
Effective Field Theory ◽  
Density Functional ◽  
Effective Field ◽  
Functional Theory ◽  
Atomic Nuclei

The relevance of the Dirac equation for computations of nuclear structure is motivated and discussed. Quantitatively successful results for medium- and heavy-mass nuclei are described, and modern ideas of effective field theory and density functional theory are used to justify them.

scholarly journals An introduction to NRQED

2015 ◽  
Vol 30 (26) ◽  
pp. 1550128 ◽  
Author(s):  
Gil Paz
Keyword(s):  
Field Theory ◽  
Electromagnetic Field ◽  
Cross Section ◽  
Effective Field Theory ◽  
Quantum Electrodynamics ◽  
Relativistic Quantum ◽  
Thomson Scattering ◽  
Effective Field ◽  
Low Energy ◽  
Sample Application

We present a pedagogical introduction to NRQED (non-relativistic quantum electrodynamics). NRQED is an effective field theory that describes the interaction of non-relativistic, possibly composite, spin- [Formula: see text] particle with the electromagnetic field. We explain in detail how the NRQED Lagrangian is constructed up to and including order [Formula: see text], where M is the mass of the spin- [Formula: see text] particle. As a sample application, we derive the Thomson scattering cross-section for the low energy scattering of a photon and a possibly composite spin- [Formula: see text] particle.

scholarly journals Point-particle effective field theory III: relativistic fermions and the Dirac equation

2017 ◽  
Vol 2017 (9) ◽  
Author(s):  
C. P. Burgess ◽  
Peter Hayman ◽  
Markus Rummel ◽  
László Zalavári
Keyword(s):  
Field Theory ◽  
Dirac Equation ◽  
Effective Field Theory ◽  
Point Particle ◽  
Effective Field

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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