Stability, creation and annihilation of charges in gauge theories

Anton Ilderton; Martin Lavelle; David McMullan

doi:10.1016/j.aop.2010.01.001

Stability, creation and annihilation of charges in gauge theories

Anton Ilderton^*, Martin Lavelle, David McMullan

^*Corresponding author for this work

School of Engineering, Computing and Mathematics

Trinity College Dublin

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Abstract

We show how to construct physical, minimal energy states for systems of static and moving charges. These states are manifestly gauge invariant. For charge–anticharge systems we also construct states in which the gauge fields are restricted to a finite volume around the location of the matter fields. Although this is an excited state, it is not singular, unlike all previous finite volume descriptions. We use our states to model the processes of pair creation and annihilation.

Original language	English
Pages (from-to)	835-851
Number of pages	0
Journal	Annals of Physics
Volume	325
Issue number	4
DOIs	https://doi.org/10.1016/j.aop.2010.01.001
Publication status	Published - Apr 2010

Keywords

Gauge theory
Physical variables

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10.1016/j.aop.2010.01.001

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title = "Stability, creation and annihilation of charges in gauge theories",

abstract = "We show how to construct physical, minimal energy states for systems of static and moving charges. These states are manifestly gauge invariant. For charge–anticharge systems we also construct states in which the gauge fields are restricted to a finite volume around the location of the matter fields. Although this is an excited state, it is not singular, unlike all previous finite volume descriptions. We use our states to model the processes of pair creation and annihilation.",

keywords = "Gauge theory, Physical variables",

author = "Anton Ilderton and Martin Lavelle and David McMullan",

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T1 - Stability, creation and annihilation of charges in gauge theories

AU - Ilderton, Anton

AU - Lavelle, Martin

AU - McMullan, David

PY - 2010/4

Y1 - 2010/4

N2 - We show how to construct physical, minimal energy states for systems of static and moving charges. These states are manifestly gauge invariant. For charge–anticharge systems we also construct states in which the gauge fields are restricted to a finite volume around the location of the matter fields. Although this is an excited state, it is not singular, unlike all previous finite volume descriptions. We use our states to model the processes of pair creation and annihilation.

AB - We show how to construct physical, minimal energy states for systems of static and moving charges. These states are manifestly gauge invariant. For charge–anticharge systems we also construct states in which the gauge fields are restricted to a finite volume around the location of the matter fields. Although this is an excited state, it is not singular, unlike all previous finite volume descriptions. We use our states to model the processes of pair creation and annihilation.

KW - Gauge theory

KW - Physical variables

UR - https://pearl.plymouth.ac.uk/secam-research/9/

U2 - 10.1016/j.aop.2010.01.001

DO - 10.1016/j.aop.2010.01.001

M3 - Article

SN - 0003-4916

VL - 325

SP - 835

EP - 851

JO - Annals of Physics

JF - Annals of Physics

IS - 4

ER -

Stability, creation and annihilation of charges in gauge theories

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