Dimensional reduction of gauge theories yielding unified models spontaneously broken toSU 3�SU 2�U 1

In this review, after a general introduction to the effective string theory (EST) description of confinement in pure gauge theories, we discuss the behaviour of EST as the temperature is increased. We show that, as the deconfinement point is approached from below, several universal features of confining gauge theories, like the ratio Tc/σ0, the linear increase of the squared width of the flux tube with the interquark distance, or the temperature dependence of the interquark potential, can be accurately predicted by the effective string. Moreover, in the vicinity of the deconfinement point the EST behaviour turns out to be in good agreement with what was predicted by conformal invariance or by dimensional reduction, thus further supporting the validity of an EST approach to confinement.

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Dimensional reduction and screening masses in pure gauge theories at finite temperature

Nuclear Physics B ◽

10.1016/s0550-3213(98)00612-9 ◽

1998 ◽

Vol 534 (1-2) ◽

pp. 392-416 ◽

Cited By ~ 50

Author(s):

Saumen Datta ◽

Sourendu Gupta

Keyword(s):

Dimensional Reduction ◽

Finite Temperature ◽

Gauge Theories ◽

Pure Gauge

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Dimensional reduction of gauge theories yielding unified models spontaneously broken to SU3 × U1

Nuclear Physics B ◽

10.1016/0550-3213(86)90274-9 ◽

1986 ◽

Vol 263 (3-4) ◽

pp. 557-590 ◽

Cited By ~ 46

Author(s):

F.A. Bais ◽

K.J. Barnes ◽

P. Forgacs ◽

G. Zoupanos

Keyword(s):

Dimensional Reduction ◽

Gauge Theories

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From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2021.0068 ◽

2021 ◽

Vol 380 (2216) ◽

Cited By ~ 1

Author(s):

Uwe-Jens Wiese

Keyword(s):

Hilbert Space ◽

Gauge Theory ◽

Dimensional Reduction ◽

Gauge Theories ◽

Quantum Simulation ◽

Quantum Spin ◽

Coulomb Phase ◽

Finite Dimensional ◽

Link Model ◽

Quantum Link

Quantum link models provide an extension of Wilson’s lattice gauge theory in which the link Hilbert space is finite-dimensional and corresponds to a representation of an embedding algebra. In contrast to Wilson’s parallel transporters, quantum links are intrinsically quantum degrees of freedom. In D-theory, these discrete variables undergo dimensional reduction, thus giving rise to asymptotically free theories. In this way ( 1 + 1 ) -d C P ( N − 1 ) models emerge by dimensional reduction from ( 2 + 1 ) -d S U ( N ) quantum spin ladders, the ( 2 + 1 ) -d confining U ( 1 ) gauge theory emerges from the Abelian Coulomb phase of a ( 3 + 1 ) -d quantum link model, and ( 3 + 1 ) -d QCD arises from a non-Abelian Coulomb phase of a ( 4 + 1 ) -d S U ( 3 ) quantum link model, with chiral quarks arising naturally as domain wall fermions. Thanks to their finite-dimensional Hilbert space and their economical mechanism of reaching the continuum limit by dimensional reduction, quantum link models provide a resource efficient framework for the quantum simulation and computation of gauge theories. This article is part of the theme issue ‘Quantum technologies in particle physics’.

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Gauge Theories: From Kaluza–Klein to noncommutative gravity theories

Symmetry ◽

10.3390/sym11070856 ◽

2019 ◽

Vol 11 (7) ◽

pp. 856

Author(s):

George Manolakos ◽

Pantelis Manousselis ◽

George Zoupanos

Keyword(s):

Dimensional Reduction ◽

Particle Physics ◽

Extra Dimensions ◽

Gauge Theories ◽

Dimensional Theory ◽

Higher Dimensional ◽

Coset Spaces ◽

Gravity Theories ◽

Physics Model ◽

Kaluza Klein

First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.

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