Creating a monopole in 4D gauge theories

Journal Article · Thu May 15 00:00:00 EDT 2008 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778808050232· OSTI ID:21402574

Khvedelidze, A ^[1]; Kovner, A ^[2]; McMullan, David ^[3]

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1. Razmadze Mathematical Institute (Georgia)
2. University of Connecticut, Physics Department (United States)
3. University of Plymouth, School of Mathematics and Statistics (United Kingdom)

The problem of defining the second quantized monopole creation operator in non-Abelian gauge theories is discussed and exemplified by the (3 + 1)-dimensional Georgi-Glashow model. We construct the 'coherent state' operator M(x) that creates the Coulomb magnetic field in terms of the Dirac singular electromagnetic potential. Our calculation of the vacuum expectation value of this operator <M(x)> in the confining phase indicates that it is free from the singularity along the Dirac string and in the leading order of perturbation theory the <M(x)> vanishes as a power of the volume of the system. This supports the conception that inclusion of the nonperturbative effects introduces an effective infrared cutoff on the calculation providing the finiteness of vacuum expectation value <M(x)>.

• OSTI ID: 21402574
• Journal Information: Physics of Atomic Nuclei, Vol. 71, Issue 5; Other Information: DOI: 10.1134/S1063778808050232; Copyright (c) 2008 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANNIHILATION OPERATORS
COULOMB FIELD
CREATION OPERATORS
EIGENSTATES
EXPECTATION VALUE
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
MAGNETIC FIELDS
MONOPOLES
PERTURBATION THEORY
POTENTIALS
SINGULARITY
ELECTRIC FIELDS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS