Phase transition of the first kind with respect to the density in a model of spontaneous breaking of chiral symmetry

1988 ◽  
Vol 75 (3) ◽  
pp. 654-659
Author(s):  
N. P. Bogolyubov
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Spontaneous Breaking

DIMENSIONAL DEPENDENCE OF CHIRAL-SYMMETRY- BREAKING PHASE TRANSITION IN QUENCHED PLANAR QED

1989 ◽  
Vol 04 (22) ◽  
pp. 2155-2166 ◽  
Author(s):  
KEI-ICHI KONDO ◽  
HAJIME NAKATANI
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Scaling Law ◽  
Mean Field ◽  
Dyson Equation ◽  
Essential Singularity ◽  
Spontaneous Breaking ◽  
Planar Approximation ◽  
Singularity Type

We consider the critical behavior of the phase transition associated with the spontaneous breaking of chiral-symmetry in (QED) D, in the framework of the Schwinger-Dyson equation. Special attention is paid on the scaling law. While it is well known that quenched planar QED 4 obeys the Miransky scaling of the essential singularity type, our numerical calculations show that QED 5 and QED 6 do obey the mean-field type scaling, even in the quenched planar approximation. Thus the essential singularity type scaling in the cutoff QED is considered to be possible only when D=4 under the quenched planar approximation.

scholarly journals FIRST AND SECOND ORDER PHASE TRANSITIONS IN MAXWELL–CHERN–SIMONS THEORY COUPLED TO FERMIONS

1996 ◽  
Vol 11 (04) ◽  
pp. 777-822 ◽  
Author(s):  
KEI-ICHI KONDO
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry ◽  
Dyson Equation ◽  
Second Order ◽  
Spontaneous Breaking ◽  
Simons Theory ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Chern Simons ◽  
Chern Simons Theory

In the Maxwell–Chern–Simons theory coupled to Nf flavors of four-component fermions (or an even number of two-component fermions), we construct the gauge-covariant effective potential written in terms of two order parameters which are able to probe the breakdown of chiral symmetry and parity. In the absence of the bare Chern–Simons term, we show that the chiral symmetry is spontaneously broken for fermion flavors Nf below a certain finite critical number [Formula: see text] while the parity is not broken spontaneously. This chiral phase transition is of the second order. In the presence of the bare Chern–Simons term, on the other hand, the chiral phase transition associated with the spontaneous breaking of chiral symmetry is shown to continue to exist, although the parity is explicitly broken. However, it is shown that the existence of the bare Chern–Simons term changes the order of the chiral transition into the first order, no matter how small the bare Chern–Simons coefficient may be. This gauge-invariant result is consistent with that recently obtained through the Schwinger–Dyson equation in the nonlocal gauge.

scholarly journals Nonadiabatic Phase Transition with Broken Chiral Symmetry

2021 ◽  
Vol 126 (7) ◽  
Author(s):  
Bin Yan ◽  
Vladimir Y. Chernyak ◽  
Wojciech H. Zurek ◽  
Nikolai A. Sinitsyn
Keyword(s):  
Phase Transition ◽  
Chiral Symmetry

scholarly journals Chiral Symmetry Breaking Phenomenon Caused by a Phase Transition

Symmetry ◽  
2010 ◽  
Vol 2 (1) ◽  
pp. 112-135 ◽  
Author(s):  
Rui Tamura ◽  
Sekai Iwama ◽  
Hiroki Takahashi
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking

RELATIVISTIC HYDRODYNAMICS WITH SPONTANEOUS CHIRAL SYMMETRY BREAKING

2003 ◽  
Vol 12 (05) ◽  
pp. 675-681
Author(s):  
SUN ZHANG ◽  
FAN WANG
Keyword(s):  
Phase Transition ◽  
Dispersion Relation ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Hydrodynamic Equation ◽  
Chiral Symmetry Breaking ◽  
Relativistic Hydrodynamics ◽  
Pion Condensation ◽  
Spontaneous Chiral Symmetry Breaking ◽  
Background State

We study the hydrodynamics of the nuclear matter of two flavors of light quarks with spontaneous chiral symmetry breaking based on the Poisson bracket method. The effects of mass are included and the full hydrodynamic equation for pions is given. The in-medium dispersion relation of pions in the neutron rich background state and the possibility of the phase transition to pion condensation are also discussed.

scholarly journals A road towards a beyond the Standard Model model

2022 ◽  
Vol 258 ◽  
pp. 06003
Author(s):  
Giancarlo Rossi
Keyword(s):  
Standard Model ◽  
Chiral Symmetry ◽  
Top Quark ◽  
Gauge Coupling ◽  
Spontaneous Breaking ◽  
Strong Interactions ◽  
Fermion Mass ◽  
Mass Hierarchy ◽  
Strongly Interacting ◽  
Fermion Masses

In this talk we describe examples of renormalizable strongly interacting field theories where chiral symmetry, broken at the UV cutoff by the presence of some irrelevant d > 4 operators in the fundamental Lagrangian, is recovered at low energy owing to the tuning of certain Lagrangian parameters. The interference of UV effects with IR features coming from the spontaneous breaking of the recovered chiral symmetry yields non perturbatively generated elementary fermion masses parametrically expressed by formulae of the kind mq ~ Cq(α)ΛRGI with α the gauge coupling constant and ΛRGI the RGI scale of the theory. Upon introducing EW interactions, this mechanism can be extended to give mass to EW bosons and leptons and can thus be used as an alternative to the Higgs scenario. In order to give the top quark and the weak gauge bosons a mass of the phenomenologically correct order of magnitude, the model must necessarily include (yet unobserved) super-strongly interacting massive fermions endowed, besides ordinary Standard Model interactions, with super-strong interactions with a RGI scale, ΛT ΛQCD in the few TeV range. Though limited in its scope (here we ignore hypercharge and leptons and discuss only the case of one family neglecting weak isospin splitting), the model opens the way to a solution of the naturalness problem and an understanding of the fermion mass hierarchy.

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