scholarly journals Outer resonances and effective potential analogy in two-dimensional dielectric cavities

2010 ◽  
Vol 374 (17-18) ◽  
pp. 1893-1899 ◽  
Author(s):  
Jinhang Cho ◽  
Inbo Kim ◽  
Sunghwan Rim ◽  
Geo-Su Yim ◽  
Chil-Min Kim
Keyword(s):  
Effective Potential ◽  
Two Dimensional

scholarly journals ON THERMAL PHASE STRUCTURE OF DEFORMED GROSS–NEVEU MODEL

1996 ◽  
Vol 11 (39n40) ◽  
pp. 3091-3102 ◽  
Author(s):  
H.-T. SATO ◽  
H. TOCHIMURA
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Effective Potential ◽  
Phase Structure ◽  
Chiral Symmetry Breaking ◽  
Two Dimensional ◽  
Polymer Model ◽  
Pauli Matrices ◽  
Thermal Phase ◽  
Gross Neveu Model

We illustrate the phase structure of a deformed two-dimensional Gross–Neveu model which is defined by undeformed field contents plus deformed Pauli matrices. This deformation is based on two motives to find a more general polymer model and to estimate how q-deformed field theory affects on its effective potential. Some regions where chiral symmetry breaking and restoration take place repeatedly as temperature increasing are found.

scholarly journals Band functions in the presence of magnetic steps

2015 ◽  
Vol 26 (01) ◽  
pp. 161-184 ◽  
Author(s):  
P. D. Hislop ◽  
N. Popoff ◽  
N. Raymond ◽  
M. P. Sundqvist
Keyword(s):  
Magnetic Field ◽  
Asymptotic Expansion ◽  
Magnetic Fields ◽  
Essential Spectrum ◽  
Effective Potential ◽  
Explicit Description ◽  
Natural Order ◽  
Two Dimensional ◽  
Piecewise Constant ◽  
The Magnetic Field

We complete the analysis of the band functions for two-dimensional magnetic Schrödinger operators with piecewise constant magnetic fields. The discontinuity of the magnetic field can create edge currents that flow along the discontinuity, which have been described by physicists. Properties of these edge currents are directly related to the behavior of the band functions. The effective potential of the fiber operator is an asymmetric double well (eventually degenerated) and the analysis of the splitting of the bands incorporates the asymmetry. If the magnetic field vanishes, the reduced operator has essential spectrum and we provide an explicit description of the band functions located below the essential spectrum. For non-degenerate magnetic steps, we provide an asymptotic expansion of the band functions at infinity. We prove that when the ratio of the two magnetic fields is rational, a splitting of the band functions occurs and has a natural order, predicted by numerical computations.

scholarly journals One-loop effective potential for two-dimensional competing scalar order parameters

2020 ◽  
Vol 384 (4) ◽  
pp. 126095 ◽  
Author(s):  
Nei Lopes ◽  
Mucio A. Continentino ◽  
Daniel G. Barci
Keyword(s):  
Effective Potential ◽  
Order Parameters ◽  
Two Dimensional ◽  
Scalar Order

scholarly journals Secularly growing loop corrections in scalar wave background

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
E. T. Akhmedov ◽  
O. Diatlyk
Keyword(s):  
Scalar Field ◽  
Effective Potential ◽  
Ground State ◽  
Two Dimensional ◽  
Scalar Wave ◽  
Initial State ◽  
Expectation Value ◽  
Yukawa Theory

Abstract We consider two-dimensional Yukawa theory in the scalar wave background ϕ(t − x). If one takes as initial state in such a background the scalar vacuum corresponding to ϕ = 0, then loop corrections to a certain part of the Keldysh propagator, corresponding to the anomalous expectation value, grow with time. That is a signal to the fact that under the kick of the ϕ(t − x) wave the scalar field rolls down the effective potential from the ϕ = 0 position to the proper ground state. We show the evidence supporting these observations.

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