Self-localization and spontaneous symmetry breaking of optical fields propagating in strongly nonlinear channel waveguides: limitations of the scalar field approximation

1992 ◽  
Vol 9 (8) ◽  
pp. 1362 ◽  
Author(s):  
K. Hayata ◽  
M. Koshiba
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Field Approximation ◽  
Optical Fields ◽  
Strongly Nonlinear ◽  
Channel Waveguides

scholarly journals Coherent states and spontaneous symmetry breaking in light-front scalar field theory

2006 ◽  
Vol 161 ◽  
pp. 223-229 ◽  
Author(s):  
J.P. Vary ◽  
D. Chakrabarti ◽  
A. Harindranath ◽  
R. Lloyd ◽  
L. Martinovic ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Coherent States ◽  
Light Front ◽  
Scalar Field Theory

scholarly journals Effective Abelian-Higgs Theory from SU(2) gauge field theory

2005 ◽  
Vol 20 (15) ◽  
pp. 3481-3487 ◽  
Author(s):  
VLADIMIR DZHUNUSHALIEV ◽  
DOUGLAS SINGLETON ◽  
DANNY DHOKARH
Keyword(s):  
Field Theory ◽  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Mass Term ◽  
Gauge Field Theory ◽  
Ginzburg Landau ◽  
Flux Tubes ◽  
Color Confinement

In the present work we show that it is possible to arrive at a Ginzburg-Landau (GL) like equation from pure SU (2) gauge theory. This has a connection to the dual superconducting model for color confinement where color flux tubes permanently bind quarks into color neutral states. The GL Lagrangian with a spontaneous symmetry breaking potential, has such (Nielsen-Olesen) flux tube solutions. The spontaneous symmetry breaking requires a tachyonic mass for the effective scalar field. Such a tachyonic mass term is obtained from the condensation of ghost fields.

LIGHT-FRONT QUANTIZED SCHWINGER MODEL AND θ-VACUA

1998 ◽  
Vol 13 (15) ◽  
pp. 1223-1233 ◽  
Author(s):  
PREM P. SRIVASTAVA
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Light Front ◽  
Number Operator ◽  
Decomposition Property ◽  
Schwinger Model ◽  
Fluctuation Fields ◽  
Time Information

The light-front (LF) quantization of the bosonized Schwinger model is discussed. The proposal, successfully used earlier for describing the spontaneous symmetry breaking (SSB) on the LF, of separating first the scalar field into the dynamical condensate and the fluctuation fields before employing the standard Dirac method works here as well. The condensate variable is now shown to be a q-number operator in contrast to the case of SSB where it was shown to be a c-number. The condensate or θ-vacua emerge straightforwardly along with their continuum normalization which avoids the violation of the cluster decomposition property. Attention is drawn to the fact that the theory quantized, say, at equal x+, carries in it at the same time information on equal x- commutators as well.

scholarly journals Coherent States and Spontaneous Symmetry Breaking in Light Front Scalar Field Theory

2005 ◽  
Author(s):  
J.P. Vary ◽  
D. Chakrabarti ◽  
A. Harindranath ◽  
R. Lloyd ◽  
L. Martinovic ◽  
...  
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Coherent States ◽  
Light Front ◽  
Scalar Field Theory

scholarly journals SPONTANEOUS SYMMETRY BREAKING IN THE SPACE–TIME OF AN ARBITRARY DIMENSION

2002 ◽  
Vol 17 (30) ◽  
pp. 1979-1989 ◽  
Author(s):  
JE-AN GU ◽  
W.-Y. P. HWANG
Keyword(s):  
Gravitational Field ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Arbitrary Dimension ◽  
Space Time ◽  
Minimal Coupling ◽  
Dynamical Field

We study the spontaneous symmetry breaking (SSB) induced by a scalar field and its non-minimal interaction with gravity in the space–time of an arbitrary dimension (D > 2), where the gravitational field is treated as a dynamical field. We explore mainly the possibility of implementing SSB after introducing the non-minimal coupling with such dynamical gravitational field.

ON THE EFFECTS OF THE NEUMANN BOUNDARY CONDITIONS IN THE COLEMAN–WEINBERG MECHANISM

2010 ◽  
Vol 25 (07) ◽  
pp. 1389-1403 ◽  
Author(s):  
F. N. FAGUNDES ◽  
T. L. ANTONACCI OAKES ◽  
B. B. DILEM ◽  
J. A. NOGUEIRA
Keyword(s):  
Vector Field ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Boundary Conditions ◽  
Spontaneous Symmetry Breaking ◽  
Neumann Boundary ◽  
Neumann Boundary Conditions ◽  
Finite Region

We investigate the effects of the homogeneous Neumann boundary conditions in the scalar electrodynamics with self-interaction. We show that if the length of the finite region is small enough ([Formula: see text], where Mϕ is the mass of the scalar field generated by the Coleman–Weinberg mechanism) the spontaneous symmetry breaking will not be induced and the vector field will not develop mass, however the scalar field will.

SPONTANEOUS SYMMETRY BREAKING IN A MICROTUBULE-LIKE SYSTEM

2010 ◽  
Vol 21 (06) ◽  
pp. 825-837 ◽  
Author(s):  
MINGZHE LIU ◽  
RUILI WANG ◽  
RUI JIANG
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Low Density ◽  
Channel System ◽  
Multiple Channel ◽  
Proposed Model

This paper studies asymmetric exclusion processes on a microtubule-like system with two species of particles. The model is motivated by the structure of microtubules and kinesins and dyneins moving along microtubules in opposite directions. The proposed model is similar to that in J. Phys. A40, 2275 (2007) in which two-channel TASEPs with narrow entrances and parallel update are studied. This paper extended the above-mentioned work to a multiple-channel hollow cylinder case. Thus, each channel has two nearest neighbors in our model. The corresponding rule for narrow entrances is that particles cannot enter the system if either of two nearest-neighbor sites on neighboring channels is occupied by the other species of particles. The phase diagram of the model is obtained from a mean-field approximation and verified by computer simulations. It is shown that the spontaneous symmetry breaking exists with two asymmetric phases: high/low density and low/low density. The flipping process of particles is observed. Bulk density and particle currents are computed. Monte Carlo simulation results deviate from the mean-field prediction when entrance rate α is high, which is due to neglecting correlations among particles in mean-field calculations. The results are also compared with that obtained from two-channel system with one neighbor narrow entrance in parallel update.

scholarly journals TOPOLOGICAL STABILITY OF BROKEN SYMMETRY ON FUZZY SPHERES

2012 ◽  
Vol 27 (14) ◽  
pp. 1250082 ◽  
Author(s):  
S. DIGAL ◽  
T. R. GOVINDARAJAN
Keyword(s):  
Scalar Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Broken Symmetry ◽  
Fuzzy Sphere ◽  
Topological Stability

We study the spontaneous symmetry breaking of O(3) scalar field on a fuzzy sphere [Formula: see text]. We find that the fluctuations in the background of topological configurations are finite. This is in contrast to the fluctuations around a uniform configuration which diverge, due to Mermin–Wagner–Hohenberg–Coleman theorem, leading to the decay of the condensate. Interesting implications of enhanced topological stability of the configurations are pointed out.

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