scholarly journals Can Magnetic Monopoles and Massive Photons Coexist in the Framework of the Same Classical Theory?

2007 ◽  
Vol 2007 ◽  
pp. 1-14
Author(s):  
C. Cafaro ◽  
S. Capozziello ◽  
Ch. Corda ◽  
S. A. Ali
Keyword(s):  
Field Theory ◽  
Classical Theory ◽  
Magnetic Monopole ◽  
Electromagnetic Interaction ◽  
Magnetic Monopoles ◽  
Quantum Field ◽  
Finite Range ◽  
Electromagnetic Interactions ◽  
Self Consistent ◽  
Massive Photons

It is well known that one cannot construct a self-consistent quantum field theory describing the nonrelativistic electromagnetic interaction mediated by massive photons between a point-like electric charge and a magnetic monopole. We show that, indeed, this inconsistency arises in the classical theory itself. No semiclassic approximation or limiting procedure forℏ→0is used. As a result, the string attached to the monopole emerges as visible also if finite-range electromagnetic interactions are considered in classical framework.

scholarly journals ELECTRON–POSITRON ANNIHILATION INTO DIRAC MAGNETIC MONOPOLE AND ANTIMONOPOLE: THE STRING AMBIGUITY AND THE DISCRETE SYMMETRIES

1998 ◽  
Vol 13 (28) ◽  
pp. 2295-2304 ◽  
Author(s):  
A. YU. IGNATIEV ◽  
G. C. JOSHI
Keyword(s):  
Field Theory ◽  
Positron Annihilation ◽  
Discrete Symmetries ◽  
Magnetic Monopole ◽  
Magnetic Monopoles ◽  
P Wave ◽  
Quantum Field ◽  
Electron Positron Annihilation ◽  
Electron Positron ◽  
The One

We address the problem of string arbitrariness in the quantum field theory of Dirac magnetic monopoles. Different prescriptions are shown to yield different physical results. The constraints due to the discrete symmetries (C and P) are derived for the process of electron–positron annihilation into the monopole–antimonopole pair. In the case of the annihilation through the one-photon channel, the production of spin-0 monopoles is absolutely forbidden; spin-1/2 monopole and antimonopole should have the same helicities (or, equivalently, the monopole–antimonopole state should be p-wave 1P1).

ON THE RELATION BETWEEN QUANTUM HYDRODYNAMICS AND CONVENTIONAL QUANTUM FIELD THEORY

1954 ◽  
Vol 32 (8) ◽  
pp. 530-537
Author(s):  
F. A. Kaempffer
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Function ◽  
Classical Theory ◽  
Quantum Field ◽  
Quantum Hydrodynamics ◽  
Quantization Procedure ◽  
Nonrelativistic Theory ◽  
Hydrodynamical Description ◽  
Charged Medium

The conditions are examined under which the procedure of quantum hydrodynamics would be a consequence of the conventional quantization procedure, and vice versa. Using the classical nonrelativistic theory of a charged medium as an example, it is shown that the commutation rules of the two procedures differ by a factor 2, if in accordance with an idea by Geilikman the wave function of the classical theory is expanded as ψ = ψ0 + ψ1, with ψ0 a constant and [Formula: see text], and if terms of higher than second order in ψ1 are neglected in the hydrodynamical description of the theory.

scholarly journals Magnetic monopoles in field theory and cosmology

2012 ◽  
Vol 370 (1981) ◽  
pp. 5705-5717 ◽  
Author(s):  
Arttu Rajantie
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Particle Physics ◽  
Magnetic Monopoles ◽  
Beyond The Standard Model ◽  
Quantum Field ◽  
Magnetic Systems ◽  
The Standard Model

The existence of magnetic monopoles is predicted by many theories of particle physics beyond the standard model. However, in spite of extensive searches, there is no experimental or observational sign of them. I review the role of magnetic monopoles in quantum field theory and discuss their implications for particle physics and cosmology. I also highlight their differences and similarities with monopoles found in frustrated magnetic systems.

scholarly journals Singular structure of the QED effective action

2019 ◽  
Vol 49 ◽  
pp. 1960006
Author(s):  
B. A. Fayzullaev
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Perturbation Theory ◽  
Singular Perturbation ◽  
Effective Action ◽  
Electromagnetic Interaction ◽  
Perturbation Series ◽  
Singular Perturbation Theory ◽  
Quantum Field ◽  
Coupling Constant

The equations for the QED effective action derived in Ref. 3 are considered using singular perturbation theory. The effective action is divided into regular and singular (in coupling constant) parts. It is shown that expression for the regular part coincides with usual Feynman perturbation series over coupling constant, while the remainder has essential singularity at the vanishing coupling constant: [Formula: see text]. This means that in the frame of quantum field theory it is impossible “to switch off” electromagnetic interaction in general and pass on to “free electron”.

scholarly journals ON FINITE NONCOMMUTATIVITY IN QUANTUM FIELD THEORY

2010 ◽  
Vol 25 (15) ◽  
pp. 2955-2964
Author(s):  
MIKLOS LÅNGVIK ◽  
ALI ZAHABI
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Exponential Function ◽  
Star Product ◽  
Integral Kernel ◽  
New Product ◽  
Quantum Field ◽  
Finite Range ◽  
Moyal Product ◽  
Commutation Relations

We consider various modifications of the Weyl–Moyal star-product, in order to obtain a finite range of nonlocality. The basic requirements are to preserve the commutation relations of the coordinates as well as the associativity of the new product. We show that a modification of the differential representation of the Weyl–Moyal star-product by an exponential function of derivatives will not lead to a finite range of nonlocality. We also modify the integral kernel of the star-product introducing a Gaussian damping, but find a nonassociative product which remains infinitely nonlocal. We are therefore led to propose that the Weyl–Moyal product should be modified by a cutoff-like function, in order to remove the infinite nonlocality of the product. We provide such a product, but it appears that one has to abandon the possibility of analytic calculation with the new product.

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