Energy-momentum tensor of intermediate vector bosons in an external electromagnetic field

The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there found possible to set up a scheme of second quantization in the absence of an external field, and to derive expressions for the current vector and the energy-momentum tensor. These considerations will be extended in the present paper to the case when there is an external electromagnetic field, but we shall in the first instance disregard the second quantization and confine ourselves to a c -number theory. The difficulty of this problem is illustrated by the fact that the most immediate method of taking into account the effect of the electromagnetic field, proposed by Dirac (1936), leads to inconsistent equations as soon as the spin is greater than 1.

Download Full-text

Continuity equations for bound electromagnetic field and the electromagnetic energy–momentum tensor

Physica Scripta ◽

10.1088/0031-8949/83/05/055406 ◽

2011 ◽

Vol 83 (5) ◽

pp. 055406 ◽

Cited By ~ 6

Author(s):

A L Kholmetskii ◽

O V Missevitch ◽

T Yarman

Keyword(s):

Electromagnetic Field ◽

Energy Momentum Tensor ◽

Momentum Tensor ◽

Electromagnetic Energy ◽

Continuity Equations

Download Full-text

TORSION AND THE ELECTROMAGNETIC FIELD

International Journal of Modern Physics D ◽

10.1142/s0218271899000122 ◽

1999 ◽

Vol 08 (02) ◽

pp. 141-151 ◽

Cited By ~ 28

Author(s):

V. C. DE ANDRADE ◽

J. G. PEREIRA

Keyword(s):

General Relativity ◽

Electromagnetic Field ◽

Gauge Invariance ◽

Energy Momentum Tensor ◽

Momentum Tensor ◽

Local Gauge ◽

Local Gauge Invariance

In the framework of the teleparallel equivalent of general relativity, we study the dynamics of a gravitationally coupled electromagnetic field. It is shown that the electromagnetic field is able not only to couple to torsion, but also, through its energy–momentum tensor, produce torsion. Furthermore, it is shown that the coupling of the electromagnetic field with torsion preserves the local gauge invariance of Maxwell's theory.

Download Full-text

PROOF OF THE UNIQUENESS OF THE ENERGY MOMENTUM TENSOR OF THE ELECTROMAGNETIC FIELD

The Theory of Space, Time and Gravitation ◽

10.1016/b978-0-08-010061-6.50017-2 ◽

1964 ◽

pp. 411-416

Keyword(s):

Electromagnetic Field ◽

Energy Momentum Tensor ◽

Momentum Tensor

Download Full-text

The Maxwell equations

10.1093/oso/9780198786399.003.0030 ◽

2018 ◽

Author(s):

Nathalie Deruelle ◽

Jean-Philippe Uzan

Keyword(s):

Electromagnetic Field ◽

Angular Momentum ◽

Variational Principle ◽

Maxwell Equations ◽

Energy Momentum Tensor ◽

Momentum Tensor ◽

Field Energy ◽

Total Charge ◽

Faraday’S Law ◽

System Energy

This chapter presents Maxwell equations determining the electromagnetic field created by an ensemble of charges. It also derives these equations from the variational principle. The chapter studies the equation’s invariances: gauge invariance and invariance under Poincaré transformations. These allow us to derive the conservation laws for the total charge of the system and also for the system energy, momentum, and angular momentum. To begin, the chapter introduces the first group of Maxwell equations: Gauss’s law of magnetism, and Faraday’s law of induction. It then discusses current and charge conservation, a second set of Maxwell equations, and finally the field–energy momentum tensor.

Download Full-text