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 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.

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.

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 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 COULOMB'S LAW CORRECTIONS FROM A GAUGE-KINETIC MIXING

2011 ◽  
Vol 26 (05) ◽  
pp. 863-871 ◽  
Author(s):  
PATRICIO GAETE ◽  
IVÁN SCHMIDT
Keyword(s):  
Standard Model ◽  
Coulomb Potential ◽  
Wilson Loop ◽  
Quantum Potential ◽  
Gauge Invariant ◽  
Hidden Sector ◽  
The Standard Model ◽  
Dependent Variables ◽  
Path Dependent ◽  
Coulomb's Law

We study the connection or equivalence between two well-known extensions of the Standard Model, that is, for the coupling between the familiar massless electromagnetism U (1) QED and a hidden-sector U (1)h, and axionic electrodynamics. Our discussion is carried out using the gauge-invariant but path-dependent variables formalism, which is an alternative to the Wilson loop approach. When we compute in this way the static quantum potential for the coupling between the familiar massless electromagnetism U (1) QED and a hidden-sector U (1)h, the result of this calculation is a Yukawa correction to the usual static Coulomb potential. Previously,14, we have shown that axionic electrodynamics has a different structure which is reflected in a confining piece. Therefore, both extensions of the Standard Model are not equivalent. Interestingly, when the above calculation is done inside a superconducting box, the Coulombic piece disappears leading to a screening phase.

scholarly journals DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (39) ◽  
pp. 3591-3600 ◽  
Author(s):  
HIROSI OOGURI ◽  
NAOKI SASAKURA
Keyword(s):  
Gauge Theory ◽  
Moduli Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Analogue Model ◽  
Gauge Invariant ◽  
Invariant Functions ◽  
Dimensional Lattice ◽  
Chern Simons ◽  
Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

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 Aspects of Screening and Confinement in a Topologically MassiveU1W×U(1)YChern-Simons-Higgs Theory

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Patricio Gaete ◽  
José A. Helayël-Neto
Keyword(s):  
Effective Model ◽  
Gauge Fields ◽  
Static Charge ◽  
Abelian Gauge ◽  
Massless Field ◽  
First Case ◽  
Dependent Variables ◽  
Path Dependent ◽  
The Impact ◽  
Chern Simons

By using the gauge-invariant but path-dependent variables formalism, we consider a recently proposed topologically massiveU1W×U(1)YChern-Simons-Higgs theory in2+1dimensions. In particular, we inspect the impact of a Chern-Simons mixing term between two Abelian gauge fields on physical observables. We pursue our investigation by analyzing the model in two different situations. In the first case, where we integrate the massive excitation and consider an effective model for the massless field, we show that the interaction energy contains a linear term leading to the confinement of static charge probes along with a screening contribution. In the second situation, where the massless field can be exactly integrated with its constraint duly taken into account, the interesting feature is that the resulting effective model describes a purely screening phase, without any trace of a confining regime.

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