Cold atom coupled to a heat bath in non-Abelian gauge potential: Effect on magnetic moment

We obtain a Lorentzian solution for the topologically massive non-Abelian gauge theory on AdS space [Formula: see text] by means of an SU (1, 1) gauge transformation of the previously found Abelian solution. There exists a natural scale of length which is determined by the inverse topological mass ν ~ ng2. In the topologically massive electrodynamics the field strength locally determines the gauge potential up to a closed 1-form via the (anti-)self-duality equation. We introduce a transformation of the gauge potential using the dual field strength which can be identified with an Abelian gauge transformation. Then we present map [Formula: see text] including the topological mass which is the Lorentzian analog of the Hopf map. This map yields a global decomposition of [Formula: see text] as a trivial [Formula: see text] bundle over the upper portion of the pseudosphere [Formula: see text] which is the Hyperboloid model for the Lobachevski geometry. This leads to a reduction of the Abelian field equation onto [Formula: see text] using a global section of the solution on [Formula: see text]. Then we discuss the integration of the field equation using the Archimedes map [Formula: see text]. We also present a brief discussion of the holonomy of the gauge potential and the dual field strength on [Formula: see text].

Download Full-text

SECOND-ORDER CORRECTIONS TO THE MAGNETIC MOMENT OF ELECTRON AT FINITE TEMPERATURE

International Journal of Modern Physics A ◽

10.1142/s0217751x12501886 ◽

2012 ◽

Vol 27 (32) ◽

pp. 1250188 ◽

Cited By ~ 5

Author(s):

SAMINA S. MASOOD ◽

MAHNAZ Q. HASEEB

Keyword(s):

Magnetic Moment ◽

Finite Temperature ◽

Heat Bath ◽

Second Order ◽

The Self ◽

Electron Mass ◽

Temperature Dependent ◽

Primordial Nucleosynthesis ◽

Physical Mass ◽

The Magnetic Field

Magnetic moment of electron at finite temperature is directly related to the modified electron mass in the background heat bath. Magnetic moment of electron gets modified at finite temperature also, when it couples with the magnetic field, through its temperature-dependent physical mass. We show that the second-order corrections to the magnetic moment of electron is a complicated function of temperature. We calculate the self-mass induced thermal contributions to the magnetic moment of electron, up to the two-loop level, for temperatures valid around the era of primordial nucleosynthesis. A comparison of thermal behavior of the magnetic moment is also quantitatively studied in detail, around the temperatures below and above the nucleosynthesis temperature.

Download Full-text

Introductory remarks

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences ◽

10.1098/rsta.1982.0001 ◽

1982 ◽

Vol 304 (1482) ◽

pp. 3-4

Keyword(s):

World War Ii ◽

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Quantum Electrodynamics ◽

Power Series Expansion ◽

Structure Constant ◽

Fine Structure Constant ◽

Quantum Field Theories ◽

Quantum Field ◽

Abelian Gauge

The title of this meeting, which refers to gauge theories, could equivalently have specified renormalizable quantum field theories. The first quantum field theory arose from the quantization by Dirac, Heisenberg and Pauli of Maxwell’s classical theory of electromagnetism. This immediately revealed the basic problem that although the smallness of the fine-structure constant appeared to give an excellent basis for a power-series expansion, corrections to lowest order calculations gave meaningless infinite results. Quantum electrodynamics (QED ) is, of course, an Abelian gauge theory, and the first major triumph o f fundamental physics after World War II was the removal of the infinities from the theory by the technique of renormalization developed by Schwinger, Feynman and Dyson, stimulated by the measurement of the Lamb shift and the anomalous magnetic moment of the electron. In the intervening years, especially through the beautiful experiments at Cern on the anomalous magnetic moment of the muon, the agreement between this theory and experiment has been pushed to the extreme technical limits of both measurement and calculation.

Download Full-text

Stochastic modulation of non-Abelian gauge potential. Spin-rotational relaxation

Chemical Physics Letters ◽

10.1016/0009-2614(94)00358-0 ◽

1994 ◽

Vol 222 (3) ◽

pp. 309-312 ◽

Cited By ~ 6

Author(s):

Yu.A. Serebrennikov ◽

U.E. Steiner

Keyword(s):

Gauge Potential ◽

Rotational Relaxation ◽

Abelian Gauge ◽

Stochastic Modulation

Download Full-text

Nuclear spin-rotation interaction and non-Abelian gauge potential

Molecular Physics ◽

10.1080/00268979500100411 ◽

1995 ◽

Vol 84 (3) ◽

pp. 627-632 ◽

Cited By ~ 5

Author(s):

Yu.A. Serebrennikov ◽

U.E. Steiner

Keyword(s):

Nuclear Spin ◽

Spin Rotation ◽

Gauge Potential ◽

Abelian Gauge

Download Full-text

On Spinor Representations in the Weyl Gauge Theory

Modern Physics Letters A ◽

10.1142/s0217732397002004 ◽

1997 ◽

Vol 12 (26) ◽

pp. 1957-1968 ◽

Cited By ~ 2

Author(s):

B. M. Barbashov ◽

A. B. Pestov

Keyword(s):

Gauge Theory ◽

Differential Forms ◽

Current Source ◽

Gauge Potential ◽

Spinor Representation ◽

Abelian Gauge ◽

Cartan Torsion ◽

Gauge Space ◽

Spinor Current ◽

Spinor Representations

A spinor current-source is found in the Weyl non-Abelian gauge theory which does not contain the abstract gauge space. It is shown that the searched spinor representation can be constructed in the space of external differential forms and it is a 16-component quantity for which a gauge-invariant Lagrangian is determined. The connection between the Weyl non-Abelian gauge potential and the Cartan torsion field, and the problem of a possible manifestation of the considered interactions are considered.

Download Full-text

Absence of the anomalous magnetic moment in a supersymmetric abelian gauge theory

Physics Letters B ◽

10.1016/0370-2693(74)90399-2 ◽

1974 ◽

Vol 53 (4) ◽

pp. 347-350 ◽

Cited By ~ 102

Author(s):

S. Ferrara ◽

E. Remiddi

Keyword(s):

Gauge Theory ◽

Magnetic Moment ◽

Anomalous Magnetic Moment ◽

Abelian Gauge ◽

Abelian Gauge Theory

Download Full-text

Wilson loop and Wilczek-Zee phase from a non-Abelian gauge field

npj Quantum Information ◽

10.1038/s41534-021-00483-2 ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Seiji Sugawa ◽

Francisco Salces-Carcoba ◽

Yuchen Yue ◽

Andika Putra ◽

I. B. Spielman

Keyword(s):

Gauge Field ◽

Wilson Loop ◽

Berry Phase ◽

Einstein Condensate ◽

Gauge Potential ◽

Abelian Gauge ◽

Dimensional Parameter ◽

Bose Einstein Condensate ◽

Bose Einstein ◽

Aharonov Bohm

AbstractQuantum states can acquire a geometric phase called the Berry phase after adiabatically traversing a closed loop, which depends on the path not the rate of motion. The Berry phase is analogous to the Aharonov–Bohm phase derived from the electromagnetic vector potential, and can be expressed in terms of an Abelian gauge potential called the Berry connection. Wilczek and Zee extended this concept to include non-Abelian phases—characterized by the gauge-independent Wilson loop—resulting from non-Abelian gauge potentials. Using an atomic Bose–Einstein condensate, we quantum-engineered a non-Abelian SU(2) gauge field, generated by a Yang monopole located at the origin of a 5-dimensional parameter space. By slowly encircling the monopole, we characterized the Wilczek–Zee phase in terms of the Wilson loop, that depended on the solid-angle subtended by the encircling path: a generalization of Stokes’ theorem. This observation marks the observation of the Wilson loop resulting from a non-Abelian point source.

Download Full-text