scholarly journals CONFINING POTENTIAL FROM INTERACTING MAGNETIC AND TORSION FIELDS

2010 ◽  
Vol 25 (06) ◽  
pp. 471-478
Author(s):  
PATRICIO GAETE ◽  
JOSÉ A. HELAŸEL-NETO
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Field Strength ◽  
Constant Electric Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Expectation Value ◽  
Confining Potential ◽  
Dependent Variables ◽  
Path Dependent

Adopting the gauge-invariant but path-dependent variables formalism, we study the coupling of torsion fields with photons in the presence of an external background electromagnetic. We explicitly show that, in the case of a constant electric field strength expectation value, the static potential remains Coulombic, while in the case of a constant magnetic field strength expectation value a confining potential is obtained. This result displays a marked qualitative departure from the usual coupling of axionlike particles with photons in the presence of an external magnetic field.

scholarly journals CONFINEMENT IN THE PRESENCE OF EXTERNAL FIELDS AND AXIONS

2005 ◽  
Vol 20 (05) ◽  
pp. 319-327 ◽  
Author(s):  
P. GAETE ◽  
E. I. GUENDELMAN
Keyword(s):  
Field Strength ◽  
Constant Electric Field ◽  
Scalar Coupling ◽  
Static Potential ◽  
Gauge Invariant ◽  
Expectation Value ◽  
Dependent Variables ◽  
Path Dependent ◽  
Magnetic Strength ◽  
Pseudo Scalar

For a theory with a pseudo-scalar coupling [Formula: see text] and in the case that there is a constant electric or magnetic strength expectation value, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. While in the case of a constant electric field strength expectation value the static potential remains Coulombic, in the case of a constant magnetic field strength the potential energy is the sum of a Yukawa and a linear potentials, leading to the confinement of static charges.

scholarly journals Remarks on inverse electrodynamics

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Patricio Gaete ◽  
José A. Helayël-Neto
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Interaction Energy ◽  
Coulomb Potential ◽  
Nonlinear Electrodynamics ◽  
Gauge Invariant ◽  
Dependent Variables ◽  
Path Dependent ◽  
Formula Type ◽  
Bending Of Light

AbstractWe study physical aspects for a new nonlinear electrodynamics (inverse electrodynamics). It is shown that this new electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field, hence we compute the bending of light. Afterwards we compute the lowest-order modification to the interaction energy within the framework of the gauge-invariant but path-dependent variables formalism. Our calculations show that the interaction energy contains a long-range ($${1 \big / {{r^5}}}$$ 1 / r 5 -type) correction to the Coulomb potential.

scholarly journals BORN–INFELD ELECTRODYNAMICS AND EULER–HEISENBERG-LIKE MODEL: OUTSTANDING EXAMPLES OF THE LACK OF COMMUTATIVITY AMONG QUANTIZED TRUNCATED ACTIONS AND TRUNCATED QUANTIZED ACTIONS

2010 ◽  
Vol 25 (32) ◽  
pp. 5951-5961 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
PATRICIO GAETE ◽  
JOSÉ A. HELAŸEL-NETO
Keyword(s):  
Magnetic Field ◽  
Static Potential ◽  
Generalized Born ◽  
Gauge Invariant ◽  
Correction Formula ◽  
Text Type ◽  
Dependent Variables ◽  
Path Dependent ◽  
Range Correction ◽  
Constant External Magnetic Field

We calculate the lowest-order corrections to the static potential for both the generalized Born–Infeld electrodynamics and an Euler–Heisenberg-like model, in the presence of a constant external magnetic field. Our analysis is carried out within the framework of the gauge-invariant but path-dependent variables formalism. The calculation reveals a long-range correction ([Formula: see text]-type) to the Coulomb potential for the generalized Born–Infeld electrodynamics. Interestingly enough, in the Euler–Heisenberg-like model, the static potential remains Coulombian. Therefore, contrary to popular belief, the quantized truncated action and the truncated quantized action do not commute at all.

scholarly journals REMARKS ON A CHERN–SIMONS-LIKE COUPLING

2011 ◽  
Vol 26 (37) ◽  
pp. 2813-2821
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Vector Field ◽  
Static Potential ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Hidden Sector ◽  
Dependent Variables ◽  
Qualitative Nature ◽  
Path Dependent ◽  
Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

scholarly journals COULOMB'S LAW MODIFICATION IN NONLINEAR AND IN NONCOMMUTATIVE ELECTRODYNAMICS

2004 ◽  
Vol 19 (20) ◽  
pp. 3427-3437 ◽  
Author(s):  
PATRICIO GAETE ◽  
IVÁN SCHMIDT
Keyword(s):  
Gauge Theory ◽  
Long Range ◽  
Coulomb Potential ◽  
Static Potential ◽  
Gauge Invariant ◽  
Coulomb’S Law ◽  
Dependent Variables ◽  
Path Dependent ◽  
Range Correction ◽  
Coulomb's Law

We study the lowest-order modifications of the static potential for Born–Infeld electrodynamics and for the θ-expanded version of the noncommutative U(1) gauge theory, within the framework of the gauge-invariant but path-dependent variables formalism. The calculation shows a long-range correction (1/r5-type) to the Coulomb potential in Born–Infeld electrodynamics. However, the Coulomb nature of the potential (to order e2) is preserved in noncommutative electrodynamics.

scholarly journals Remarks on the Static Potential Driven by Vacuum Nonlinearities in D=3 Models

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Patricio Gaete ◽  
José A. Helayël-Neto
Keyword(s):  
Interaction Energy ◽  
Long Range ◽  
Coulomb Potential ◽  
Potential Profile ◽  
Linear Potential ◽  
Static Potential ◽  
Generalized Born ◽  
Gauge Invariant ◽  
Dependent Variables ◽  
Path Dependent

Within the framework of the gauge-invariant, but path-dependent, variables formalism, we study the manifestations of vacuum electromagnetic nonlinearities in D=3 models. For this we consider both generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics, as well as Euler-Heisenberg-like electrodynamics. We explicitly show that generalized Born-Infeld and Pagels-Tomboulis-like electrodynamics are equivalent, where the static potential profile contains a long-range (1/r2-type) correction to the Coulomb potential. Interestingly enough, for Euler-Heisenberg-like electrodynamics the interaction energy contains a linear potential, leading to the confinement of static charges.

Effect of external magnetic field on lane formation in driven pair-ion plasmas

2021 ◽  
Vol 87 (2) ◽  
Author(s):  
Swati Baruah ◽  
U. Sarma ◽  
R. Ganesh
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Field Strength ◽  
Electric Field ◽  
Electric Field Strength ◽  
Coupling Parameter ◽  
Critical Parameters ◽  
Coulomb Coupling ◽  
Lane Formation ◽  
Parameter Values

Lane formation dynamics in externally driven pair-ion plasma (PIP) particles is studied in the presence of external magnetic field using Langevin dynamics (LD) simulation. The phase diagram obtained distinguishing the no-lane and lane states is systematically determined from a study of various Coulomb coupling parameter values. A peculiar lane formation-disintegration parameter space is identified; lane formation area extended to a wide range of Coulomb coupling parameter values is observed before disappearing to a mixed phase. The different phases are identified by calculating the order parameter. This and the critical parameters are calculated directly from LD simulation. The critical electric field strength value above which the lanes are formed distinctly is obtained, and it is observed that in the presence of the external magnetic field, the PIP system requires a higher value of the electric field strength to enter into the lane formation state than that in the absence of the magnetic field. We further find out the critical value of electric field frequency beyond which the system exhibits a transition back to the disordered state and this critical frequency is found as an increasing function of the electric field strength in the presence of an external magnetic field. The movement of the lanes is also observed in a direction perpendicular to that of the applied electric and magnetic field directions, which reveals the existence of the electric field drift in the system under study. We also use an oblique force field as the external driving force, both in the presence and absence of the external magnetic field. The application of this oblique force changes the orientation of the lane structures for different applied oblique angle values.

scholarly journals SOME CONSIDERATIONS ABOUT PODOLSKY-AXIONIC ELECTRODYNAMICS

2012 ◽  
Vol 27 (11) ◽  
pp. 1250061 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Interaction Potential ◽  
Gauge Invariant ◽  
First Order ◽  
Dependent Variables ◽  
Path Dependent

For a Podolsky-axionic electrodynamics, we compute the interaction potential within the structure of the gauge-invariant but path-dependent variables formalism. The result is equivalent to that of axionic electrodynamics from a new noncommutative approach, up to first-order in θ.

scholarly journals STATIC POTENTIAL AND A NEW GENERALIZED CONNECTION IN THREE DIMENSIONS

2004 ◽  
Vol 19 (22) ◽  
pp. 1695-1700 ◽  
Author(s):  
PATRICIO GAETE
Keyword(s):  
Gauge Theory ◽  
Three Dimensions ◽  
Simons Theory ◽  
Static Potential ◽  
Gauge Invariant ◽  
Confining Potential ◽  
Static Interaction ◽  
Pure Gauge Theory ◽  
Chern Simons ◽  
Chern Simons Theory

For a recently proposed pure gauge theory in three dimensions, without a Chern–Simons term, we calculate the static interaction potential within the structure of the gauge-invariant variables formalism. As a consequence, a confining potential is obtained. This result displays a marked qualitative departure from the usual Maxwell–Chern–Simons theory.

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