scholarly journals Different Faces of Confinement

Universe ◽  
2021 ◽  
Vol 7 (9) ◽  
pp. 330
Author(s):  
Roman Pasechnik ◽  
Michal Šumbera
Keyword(s):  
Phase Transition ◽  
Gauge Theories ◽  
Magnetic Order ◽  
String Tension ◽  
Yang Mills ◽  
Disorder Phase Transition ◽  
Central Vortex ◽  
Fundamental Properties ◽  
Qcd Vacuum ◽  
Key Topics

In this review, we provide a short outlook of some of the current most popular pictures and promising approaches to non-perturbative physics and confinement in gauge theories. A qualitative and by no means exhaustive discussion presented here covers such key topics as the phases of QCD matter, the order parameters for confinement, the central vortex and monopole pictures of the QCD vacuum structure, fundamental properties of the string tension, confinement realisations in gauge-Higgs and Yang–Mills theories, magnetic order/disorder phase transition, among others.

EARLY-UNIVERSE PHASE TRANSITIONS AND YANG–MILLS THEORIES

2003 ◽  
Vol 18 (10) ◽  
pp. 669-675
Author(s):  
W.-Y. PAUCHY HWANG
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Early Universe ◽  
Gauge Theories ◽  
Yang Mills ◽  
Qcd Phase Transition ◽  
Qcd Vacuum ◽  
The Moment

Our universe expands and cools. The electroweak (EW) phase transition, which endows masses to the various particles, and QCD phase transition, which gives rise to confinement of quarks and gluons within hadrons in the true QCD vacuum, would presumably have taken place in the early universe, respectively, at around 10-11 s and at a time between 10-5 s and 10-4 s, or at the temperature of about 300 GeV and of about 150 MeV, respectively. There is little doubt that much of what we see today is rooted in phase transitions in the early Universe, overturns of our universe from one phase to a completely different phase. We wish to stress here that occurrence of such phase transitions is closely tied to our Nature's realization of Yang–Mills gauge theories at the moment of creation.

scholarly journals PHASE TRANSITION COUPLINGS IN U(1) and SU(N) REGULARIZED GAUGE THEORIES

2001 ◽  
Vol 16 (24) ◽  
pp. 3989-4009 ◽  
Author(s):  
L. V. LAPERASHVILI ◽  
D. A. RYZHIKH ◽  
H. B. NIELSEN
Keyword(s):  
Phase Transition ◽  
Effective Potential ◽  
Gauge Theories ◽  
Planck Scale ◽  
Structure Constant ◽  
Coupling Constants ◽  
Fine Structure Constant ◽  
Multiple Point ◽  
Yang Mills ◽  
Loop Approximation

Using a two-loop approximation for β functions, we have considered the corresponding renormalization group improved effective potential in the dual Abelian Higgs model (DAHM) of scalar monopoles and calculated the phase transition (critical) couplings in U(1) and SU (N) regularized gauge theories. In contrast to our previous result α crit ≈0.17, obtained in the one-loop approximation with the DAHM effective potential (see Ref. 20), the critical value of the electric fine structure constant in the two-loop approximation, calculated in the present paper, is equal to α crit ≈0.208 and coincides with the lattice result for compact QED10: [Formula: see text]. Following the 't Hooft's idea of the "Abelization" of monopole vacuum in the Yang–Mills theories, we have obtained an estimation of the SU (N) triple point coupling constants, which is [Formula: see text]. This relation was used for the description of the Planck scale values of the inverse running constants [Formula: see text] (i= 1, 2, 3 correspond to U(1), SU(2) and SU(3) groups), according to the ideas of the multiple point model.16

scholarly journals LATTICE GAUGE THEORIES AND THE AdS/CFT CORRESPONDENCE

2000 ◽  
Vol 15 (25) ◽  
pp. 3901-3966 ◽  
Author(s):  
M. CASELLE
Keyword(s):  
Gauge Theories ◽  
String Tension ◽  
Yang Mills ◽  
Lattice Gauge ◽  
Lattice Regularization ◽  
Glueball Spectrum ◽  
Lattice Gauge Theories ◽  
Basic Features

This review is devoted to a comparison between lattice gauge theories and AdS/CFT results for the nonperturbative behavior of nonsupersymmetric Yang–Mills theories. It is intended for readers who are assumed not to be experts in LGT. For this reason the first part is devoted to a pedagogical introduction to the Lattice regularization of QCD. In the second part we discuss some basic features of the AdS/CFT correspondence and compare the results obtained in the nonsupersymmetric limit with those obtained on the lattice. We discuss in particular the behavior of the string tension and of the glueball spectrum.

scholarly journals Fradkin–Shenker continuity and “instead-of-confinement” phase

2017 ◽  
Vol 32 (30) ◽  
pp. 1750159 ◽  
Author(s):  
M. Shifman ◽  
A. Yung
Keyword(s):  
Phase Transition ◽  
Weak Coupling ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Fundamental Representation ◽  
Quark Confinement ◽  
Yang Mills ◽  
Supersymmetric Gauge ◽  
Confinement Phase

In 1979, Fradkin and Shenker observed [Phys. Rev. D 19, 3682 (1979)] that if one considers a Yang–Mills theory fully Higgsed by virtue of scalar fields in the fundamental representation of the SU(N) gauge group there is no phase transition in passing from the Higgs regime (weak coupling) to the “QCD confinement” regime at strong coupling. The above two regimes are continuously connected. We combine this observations with lessons from supersymmetric gauge theories which show that the Higgs phase is continuously connected to what is called “instead-of-confinement” phase rather than the phase with quark confinement. In the “instead-of-confinement” phase monopoles are confined and play a role of “constituent” quarks inside hadrons. In contrast, the Seiberg–Witten phase of quark confinement is not analytically connected to the Higgs phase. We propose dedicated lattice studies of Yang–Mills theories with scalar quarks.

ORDER-DISORDER PHASE TRANSITION OF Au(110)-(1x2) RECONSTRUCTION

1988 ◽  
Vol 49 (C6) ◽  
pp. C6-269-C6-273 ◽  
Author(s):  
H. Q. NGUYEN ◽  
Y. KUK ◽  
P. J. SILVERMAN
Keyword(s):  
Phase Transition ◽  
Disorder Phase Transition

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

Sign in / Sign up

Export Citation Format

Share Document