2 citations · 3 across the 6 of their papers we have counts for
6 papers
star-Cohomology, Third Type Chern Character and Anomalies in General Translation-Invariant Noncommutative Yang-Mills
Amir Abbass Varshovi
A representation of general translation-invariant star products in the algebra of M(C) = lim_N\to \infty M_N (C) is introduced which results in the Moyal-Weyl-Wigner quantization.…
star-Cohomology, Connes-Chern Characters, and Anomalies in General Translation-Invariant Noncommutative Yang-Mills
Amir Abbass Varshovi
Topological structure of translation-invariant noncommutative Yang-Mills theories are studied by means of a cohomology theory, so called star-cohomology, which plays an intermediat…
Geometry and Topology of Anti-BRST Symmetry in Quantized Yang-Mills Gauge Theories
Amir Abbass Varshovi
The entire geometric formulations of the BRST and the anti-BRST structures are worked out in presence of the Nakanishi-Lautrup field. It is shown that in the general form of gauge…
Many-Worlds Interpretation of Quantum Mechanics: A Paradoxical Picture
Amir Abbass Varshovi
The many-worlds interpretation (MWI) of quantum mechanics is studied from an unprecedented ontological perspective based on the reality of (semi-) deterministic parallel worlds in…
Groenewold-Moyal Product, α^\star-Cohomology, and Classification of Translation-Invariant Non-Commutative Structures
Amir Abbass Varshovi
The theory of alpha_star-cohomology is studied thoroughly and it is shown that in each cohomology class there exists a unique 2-cocycle, the harmonic form, which generates a partic…
Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
Amir Abbass Varshovi
A matrix modeling formulation for translation-invariant noncommutative gauge theories is given in the setting of differential graded algebras and quantum groups. Translation-invari…