scholarly journals Lorentz and SU(3) Groups Derived from Cubic Quark Algebra

10.14311/1187 ◽  
2010 ◽  
Vol 50 (3) ◽  
Author(s):  
R. Kerner
Keyword(s):  
Space Time ◽  
Fundamental Matter ◽  
Covariance Principle ◽  
Matter Fields

We show how Lorentz and SU(3) groups can be derived from the covariance principle conserving a Z3-graded three-form on a Z3-graded cubic algebra representing quarks endowed with non-standard commutation laws. This construction suggests that the geometry of space-time can be considered as a manifestation of symmetries of fundamental matter fields.

scholarly journals Worldlines and worldsheets for non-abelian lattice field theories: Abelian color fluxes and Abelian color cycles

2018 ◽  
Vol 175 ◽  
pp. 11007 ◽  
Author(s):  
Christof Gattringer ◽  
Daniel Göschl ◽  
Carlotta Marchis
Keyword(s):  
Degrees Of Freedom ◽  
Chemical Potential ◽  
Space Time ◽  
Field Theories ◽  
Gauge Fields ◽  
Chiral Model ◽  
Staggered Fermions ◽  
Lattice Field ◽  
Principal Chiral Model ◽  
Matter Fields

We discuss recent developments for exact reformulations of lattice field theories in terms of worldlines and worldsheets. In particular we focus on a strategy which is applicable also to non-abelian theories: traces and matrix/vector products are written as explicit sums over color indices and a dual variable is introduced for each individual term. These dual variables correspond to fluxes in both, space-time and color for matter fields (Abelian color fluxes), or to fluxes in color space around space-time plaquettes for gauge fields (Abelian color cycles). Subsequently all original degrees of freedom, i.e., matter fields and gauge links, can be integrated out. Integrating over complex phases of matter fields gives rise to constraints that enforce conservation of matter flux on all sites. Integrating out phases of gauge fields enforces vanishing combined flux of matter-and gauge degrees of freedom. The constraints give rise to a system of worldlines and worldsheets. Integrating over the factors that are not phases (e.g., radial degrees of freedom or contributions from the Haar measure) generates additional weight factors that together with the constraints implement the full symmetry of the conventional formulation, now in the language of worldlines and worldsheets. We discuss the Abelian color flux and Abelian color cycle strategies for three examples: the SU(2) principal chiral model with chemical potential coupled to two of the Noether charges, SU(2) lattice gauge theory coupled to staggered fermions, as well as full lattice QCD with staggered fermions. For the principal chiral model we present some simulation results that illustrate properties of the worldline dynamics at finite chemical potentials.

scholarly journals THE EINSTEIN EQUATION IN A THEORY OF STRINGS

2001 ◽  
Vol 16 (03) ◽  
pp. 143-150
Author(s):  
SAYAN KAR
Keyword(s):  
Einstein Equation ◽  
Background Field ◽  
Space Time ◽  
Point Particle ◽  
Matter Fields

We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation. Additionally, there emerge restrictions on the worldsheet curvature, which seems to act as a source for space–time gravity, even in the absence of other matter fields.

Fractal space signatures in quantum physics and cosmology—I. Space, time, matter, fields and gravitation

2000 ◽  
Vol 11 (11) ◽  
pp. 1671-1719 ◽  
Author(s):  
J. Argyris ◽  
C.I. Ciubotariu ◽  
W.E. Weingaertner
Keyword(s):  
Quantum Physics ◽  
Space Time ◽  
Fractal Space ◽  
Matter Fields

scholarly journals Higher-spin gauge interactions for massive matter fields in 3D AdS space-time

1999 ◽  
Vol 545 (1-3) ◽  
pp. 385-433 ◽  
Author(s):  
S.F. Prokushkin ◽  
M.A. Vasiliev
Keyword(s):  
Space Time ◽  
Higher Spin ◽  
Matter Fields

ANOMALOUS MAGNETIC MOMENTUM IN 3D SPACE-TIME AND SELF-INTERACTING ANYONS

1991 ◽  
Vol 06 (38) ◽  
pp. 3525-3530 ◽  
Author(s):  
S. LATINKSY ◽  
D. SOROKIN
Keyword(s):  
Space Time ◽  
Statistical Properties ◽  
3D Space ◽  
Particular Solution ◽  
Chern Simons ◽  
Matter Fields

The statistical properties of matter fields with anomalous magnetic momentum interacting with the Chern-Simons-Maxwell (CSM) field are considered. It is shown that in the theory with pure Chern-Simons (CS) action the Semenoff gauge results in anyons with self-interaction. Even in the presence of the Maxwell term there is a particular solution for which the anyonic system with (current) x (current) self-interaction arises.

MATTER FIELDS ON A TWO-SHEETED SPACE-TIME

2005 ◽  
Vol 20 (06) ◽  
pp. 1346-1352
Author(s):  
KAMESHWAR C. WALI
Keyword(s):  
Standard Model ◽  
Space Time ◽  
Chiral Field ◽  
Curved Space ◽  
Extended Gravity ◽  
The Standard Model ◽  
Novel Interactions ◽  
Matter Fields

As a prelude to the standard model in curved space time, we present a model of a left- and a right- chiral field living on a two-sheeted space-time. The resulting action functionals include novel interactions due to extended gravity.

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