scholarly journals ABOUT SOME EXACT SOLUTIONS FOR 2 + 1 GRAVITY COUPLED TO GAUGE FIELDS

1992 ◽  
Vol 07 (25) ◽  
pp. 2341-2350 ◽  
Author(s):  
IAN I. KOGAN
Keyword(s):  
Black Holes ◽  
Exact Solutions ◽  
Gauge Field ◽  
Three Dimensional ◽  
Einstein Gravity ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Planck Mass ◽  
Static Solutions

Some exact static solutions for Einstein gravity in 2 + 1 dimensions coupled to Abelian gauge field are discussed, where the invariant interval is of the form: ds2 = N2 (r) dt2 − dr2 − C2 (r) dθ2. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and outside the horizon are connected by the changing of the Planck mass sign.

scholarly journals Synthesis and observation of non-Abelian gauge fields in real space

Science ◽  
2019 ◽  
Vol 365 (6457) ◽  
pp. 1021-1025 ◽  
Author(s):  
Yi Yang ◽  
Chao Peng ◽  
Di Zhu ◽  
Hrvoje Buljan ◽  
John D. Joannopoulos ◽  
...  
Keyword(s):  
Gauge Field ◽  
Building Blocks ◽  
Real Space ◽  
Gauge Fields ◽  
Final States ◽  
Abelian Gauge ◽  
Classical Waves ◽  
Break Time ◽  
Bohm Effect ◽  
Aharonov Bohm

Particles placed inside an Abelian (commutative) gauge field can acquire different phases when traveling along the same path in opposite directions, as is evident from the Aharonov-Bohm effect. Such behaviors can get significantly enriched for a non-Abelian gauge field, where even the ordering of different paths cannot be switched. So far, real-space realizations of gauge fields have been limited to Abelian ones. We report an experimental synthesis of non-Abelian gauge fields in real space and the observation of the non-Abelian Aharonov-Bohm effect with classical waves and classical fluxes. On the basis of optical mode degeneracy, we break time-reversal symmetry in different manners, via temporal modulation and the Faraday effect, to synthesize tunable non-Abelian gauge fields. The Sagnac interference of two final states, obtained by reversely ordered path integrals, demonstrates the noncommutativity of the gauge fields. Our work introduces real-space building blocks for non-Abelian gauge fields, relevant for classical and quantum exotic topological phenomena.

scholarly journals The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes.

2000 ◽  
Vol 47 (1) ◽  
pp. 199-208 ◽  
Author(s):  
Felix Finster ◽  
Joel Smoller ◽  
Shing-Tung Yau
Keyword(s):  
Black Holes ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Dirac Particles

scholarly journals PROBING THE FROISSART BOUND FOR MODELS WITH CHARGED VECTOR FIELDS IN D=3

1994 ◽  
Vol 09 (18) ◽  
pp. 1695-1700 ◽  
Author(s):  
O.M. DEL CIMA
Keyword(s):  
Asymptotic Behavior ◽  
Scattering Amplitudes ◽  
Gauge Field ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tree Level ◽  
Abelian Gauge ◽  
Gauge Invariant ◽  
Maxwell Fields ◽  
Chern Simons

One discusses the tree-level unitarity and presents asymptotic behavior of scattering amplitudes for three-dimensional gauge-invariant models where complex Chern- Simons-Maxwell fields (with and without a Proca-like mass) are coupled to an Abelian gauge field.

scholarly journals PARTICLE SPECTRUM OF NON-ABELIAN TENSOR GAUGE FIELDS

2010 ◽  
Vol 25 (14) ◽  
pp. 1137-1161 ◽  
Author(s):  
GEORGE SAVVIDY
Keyword(s):  
Gauge Field ◽  
Free Field ◽  
Gauge Fields ◽  
Particle Spectrum ◽  
Field Equations ◽  
Abelian Gauge ◽  
Dimensional Spacetime ◽  
Higher Dimensional ◽  
Extended Field ◽  
Rank 2

We review the non-Abelian tensor gauge field theory and analyze its free field equations for lower rank gauge fields when the interaction coupling constant tends to zero. The free field equations are written in terms of the first-order derivatives of extended field strength tensors similar to the electrodynamics and non-Abelian gauge theories. We determine the particle content of the free field equations and count the propagating modes which they describe. In four-dimensional spacetime the rank-2 gauge field describes propagating modes of helicity two and zero. We show that the rank-3 gauge field describes propagating modes of helicity-three and a doublet of helicity-one gauge bosons. Only four-dimensional spacetime is physically acceptable, because in five- and higher-dimensional spacetime the equation has solutions with negative norm states. We discuss the structure of the particle spectrum for higher rank gauge fields.

scholarly journals Three-dimensional black holes with conformally coupled scalar and gauge fields

2014 ◽  
Vol 90 (12) ◽  
Author(s):  
Marcela Cárdenas ◽  
Oscar Fuentealba ◽  
Cristián Martínez
Keyword(s):  
Black Holes ◽  
Three Dimensional ◽  
Gauge Fields

CHIRAL SPIN LIQUID STATES IN 3-SPACE DIMENSIONS AND TOPOLOGICAL ASPECTS OF MONOPOLE SUPERCONDUCTIVITY

1993 ◽  
Vol 07 (13n14) ◽  
pp. 913-919
Author(s):  
B. BASU ◽  
P. BANDYOPADHYAY
Keyword(s):  
Magnetic Flux ◽  
Gauge Field ◽  
Spin System ◽  
Berry Phase ◽  
Gauge Fields ◽  
Spin Liquid ◽  
Abelian Gauge ◽  
Heisenberg Spin ◽  
Pair Condensation ◽  
Liquid States

We have studied here the topological aspects of monopole superconductivity in 3+1 dimensions. It is pointed out that Heisenberg spin system may be associated with non-Abelian gauge fields. When the spin and charge become separated, spinons and holons emerge and holons interacting with such a gauge field associate a magnetic flux giving rise to nonzero Berry phase and causes the existence of chiral spin liquid. This also suggests that these holons are much heavier than their free counterpart and the pair of such holons forms a bosonic state respecting rotational invariance. Superconductivity arises out of this pair condensation.

ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM

1989 ◽  
Vol 04 (05) ◽  
pp. 1055-1064 ◽  
Author(s):  
N. NAKANISHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Three Dimensional ◽  
Asymptotic Completeness ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Gauge ◽  
Asymptotic Fields

The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

GEOMETRIZATION OF PLANCK LENGTH IN COMPOSITE GRAVITY AND SUPERGRAVITY

1987 ◽  
Vol 02 (04) ◽  
pp. 261-267 ◽  
Author(s):  
J. LUKIERSKI ◽  
M. MOZRZYMAS ◽  
L. RYTEL
Keyword(s):  
Einstein Gravity ◽  
Cosmological Term ◽  
Gauge Fields ◽  
Planck Length ◽  
Planck Mass ◽  
Standard Action

The Volkov-Akulov (VA) standard action can be treated as composite cosmological term, with composite vierbein described by massless Goldstone fermions. By considering massive Goldstone fermions one can relate classically VA and composite Einstein gravity actions, provided the mass of Goldstone fermions, Planck mass and the SSB scale are related. It is also shown that the action of N=1 and N=2 supergravity with composite gauge fields can be written respectively modulo topological terms as N=1 and N=2 composite supersymmetric cosmological terms.

scholarly journals RICCI FLOWS AND SOLITONIC pp-WAVES

2006 ◽  
Vol 21 (23n24) ◽  
pp. 4899-4912 ◽  
Author(s):  
SERGIU I. VACARU
Keyword(s):  
Exact Solutions ◽  
Three Dimensional ◽  
Einstein Gravity ◽  
Antisymmetric Tensor ◽  
Ricci Flows ◽  
String Gravity

We find exact solutions describing Ricci flows of four-dimensional pp-waves nonlinearly deformed by two-/three-dimensional solitons. Such solutions are parametrized by five-dimensional metrics with generic off-diagonal terms and connections with nontrivial torsion which can be related, for instance, to antisymmetric tensor sources in string gravity. There are defined nontrivial limits to four-dimensional configurations and the Einstein gravity.

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