INVESTIGATION OF STATISTICS-CHANGING PHASE TRANSITION OF CHERN-SIMONS HIGGS THEORY

1993 ◽  
Vol 08 (35) ◽  
pp. 3317-3323 ◽  
Author(s):  
WON-TAE KIM ◽  
HYEONJOON SHIN ◽  
JAE KWAN KIM
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degree Of Freedom ◽  
Unitary Gauge ◽  
Angular Momenta ◽  
Gauge Fixing ◽  
Momentum Mode ◽  
Zero Momentum ◽  
Chern Simons

The statistics-changing phase transition in terms of the spontaneous symmetry breaking is examined by studying anomalous angular momenta in symmetric and broken phases. We show that the zero-momentum mode of charged degree of freedom cannot be eliminated through the unitary gauge fixing even though the excited modes can be done in any vacuum phase, and the statistics-changing phase transition is impossible in the Chern-Simons Higgs theory.

scholarly journals PHYSICAL MECHANISMS GENERATING SPONTANEOUS SYMMETRY BREAKING AND A HIERARCHY OF SCALES

2000 ◽  
Vol 15 (01) ◽  
pp. 133-157 ◽  
Author(s):  
M. CONSOLI ◽  
P. M. STEVENSON
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Continuum Limit ◽  
Energy State ◽  
Hard Core ◽  
Momentum Mode ◽  
Zero Momentum ◽  
Bose Einstein ◽  
The Continuum

We discuss the phase transition in (3+1)-dimensional λΦ4 theory from a very physical perspective. The particles of the symmetric phase ("phions") interact via a hard-core repulsion and an induced, long-range -1/r3 attraction. If the phion mass is sufficiently small, the lowest-energy state is not the "empty" state with no phions, but is a state with a nonzero density of phions Bose–Einstein condensed in the zero-momentum mode. The condensate corresponds to the spontaneous-symmetry-breaking vacuum with <Φ> ≠ 0 and its excitations ("phonons" in atomic physics language) correspond to Higgs particles. The phase transition happens when the phion's physical mass m is still positive; it does not wait until m2 passes through zero and becomes negative. However, at and near the phase transition, m is much, much less than the Higgs mass Mh. This interesting physics coexists with "triviality;" all scattering amplitudes vanish in the continuum limit, but the vacuum condensate becomes infinitely dense. The ratio [Formula: see text], which goes to zero in the continuum limit, can be viewed as a measure of nonlocality in the regularized theory. An intricate hierarchy of length scales naturally arises. We speculate about the possible implications of these ideas for gravity and inflation.

scholarly journals 3D MAXWELL-CHERN-SIMONS SPONTANEOUS SYMMETRY BREAKING

1990 ◽  
Vol 05 (21) ◽  
pp. 1651-1657
Author(s):  
C. ARAGONE ◽  
P. ARIAS
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Degree Of Freedom ◽  
Light Front ◽  
The Other ◽  
Canonical Analysis ◽  
Chern Simons

We study the spontaneous symmetry breaking of the 3D Maxwell-Chern-Simons (MCS) system. This action has one transverse, massive, parity sensitive degree of freedom. We show that after symmetry breaking, this excitation remains massive (although with an increased value) while the other transverse, parity sensitive, vector-like degree of freedom of the system (initially non-excited) acquires mass. These two masses are always different. Covariant, light-front and canonical analysis of the massive MCS system is given as well as the two coupled reduced actions. The quartic behavior of the system propagator stems from this coupled structure.

scholarly journals Spontaneous Symmetry Breaking of Population in a Nonadiabatically Driven Atomic Trap: An Ising-Class Phase Transition

2006 ◽  
Vol 96 (15) ◽  
Author(s):  
Kihwan Kim ◽  
Myoung-Sun Heo ◽  
Ki-Hwan Lee ◽  
Kiyoub Jang ◽  
Heung-Ryoul Noh ◽  
...  
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking

scholarly journals Spontaneous Symmetry Breaking and Dynamic Phase Transition in Monolayer Silicene

2013 ◽  
Vol 110 (8) ◽  
Author(s):  
Lan Chen ◽  
Hui Li ◽  
Baojie Feng ◽  
Zijing Ding ◽  
Jinglan Qiu ◽  
...  
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Dynamic Phase ◽  
Dynamic Phase Transition

scholarly journals Spontaneous symmetry breaking in the late Universe and glimpses of the early Universe phase transitions à la baryogenesis

2021 ◽  
Author(s):  
M. Sami ◽  
Radouane Gannouji
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Landau Theory ◽  
Bubble Nucleation ◽  
Beyond The Standard Model ◽  
Electroweak Phase Transition ◽  
Ginzburg Landau

Spontaneous symmetry breaking is the foundation of electroweak unification and serves as an integral part of the model building beyond the standard model of particle physics and it also finds interesting applications in the late Universe. We review development related to obtaining the late cosmic acceleration from spontaneous symmetry breaking in the Universe at large scales. This phenomenon is best understood through Ginzburg–Landau theory of phase transitions which we briefly describe. Hereafter, we present elements of spontaneous symmetry breaking in relativistic field theory. We then discuss the “symmetron” scenario-based upon symmetry breaking in the late Universe which is realized by using a specific form of conformal coupling. However, the model is faced with “NO GO” for late-time acceleration due to local gravity constraints. We argue that the problem can be circumvented by using the massless [Formula: see text] theory coupled to massive neutrino matter. As for the early Universe, spontaneous symmetry breaking finds its interesting applications in the study of electroweak phase transition. To this effect, we first discuss in detail the Ginzburg–Landau theory of first-order phase transitions and then apply it to electroweak phase transition including technical discussions on bubble nucleation and sphaleron transitions. We provide a pedagogical exposition of dynamics of electroweak phase transition and emphasize the need to go beyond the standard model of particle physics for addressing the baryogenesis problem. Review ends with a brief discussion on Affleck–Dine mechanism and spontaneous baryogenesis. Appendixes include technical details on essential ingredients of baryogenesis, sphaleron solution, one-loop finite temperature effective potential and dynamics of bubble nucleation.

scholarly journals Spontaneous symmetry breaking for scalar QED with nonminimal Chern-Simons coupling

2001 ◽  
Vol 64 (4) ◽  
Author(s):  
D. S. Irvine ◽  
M. E. Carrington ◽  
G. Kunstatter ◽  
D. Pickering
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Chern Simons

scholarly journals Spontaneous symmetry breaking and the renormalization of the Chern-Simons term

1995 ◽  
Vol 355 (1-2) ◽  
pp. 236-240 ◽  
Author(s):  
Avinash Khare ◽  
R.B. MacKenzie ◽  
P.K. Panigrahi ◽  
M.B. Paranjape
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Chern Simons
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