8 citations · 15 across the 14 of their papers we have counts for
15 papers
Brownian Motion of the Quantum States on a String and the Polyakov Action of String Theory: Is String Theory a Quantum Mechanical Model of the Brain?
Amir Abbass Varshovi
The Brownian motion of a number of quantum states in a compact one-dimensional space is studied via the Wiener fractal measure, and it is shown that the derived path-integral measu…
Brownian Motion in the Hilbert Space of Quantum States along with the Ricci Flow and Stochastically Emergent Einstein-Hilbert Action: Formulating a Well-Defined Feynman Path-Integral Measure for Quantum Fields in the Presence of Gravity
A. A. Varshovi
In this paper, we aim to interpret the background gravitational effects appearing in quantum field theory on curved space-time by studying the Brownian motion of quantum states alo…
Brownian Motion in the Hilbert Space of Quantum States and the Stochastically Emergent Lorentz Symmetry: A Fractal Geometric Approach from Wiener Process to Formulating Feynman's Path-Integral Measure for Relativistic Quantum Fields
A. A. Varshovi
This paper aims to provide a consistent, finite-valued, and mathematically well-defined reformulation of the Feynman path-integral measure for quantum fields obtained by studying t…
Covariant Star Product on Semi-Conformally Flat Noncommutative Calabi-Yau Manifolds and Noncommutative Topological Index Theorem
A. A. Varshovi
A differential geometric version of noncommutative topological index theorem is worked out for covariant star products on noncommutative vector bundles. For start, a noncommutative…
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…
Perturbative effective action for the photon in noncommutative QED and exactness of the Schwinger mass
M. Ghasemkhani, A. A. Varshovi, R. Bufalo
In this paper, we discuss the noncommutative QED in the S-matrix framework. We are interested in perturbatively proving that the exact Schwinger mass does not…
Gauge Fixing Invariance and Anti-BRST Symmetry
Amir Abbass Varshovi
It is shown that anti-BRST invariance in quantum gauge theories can be considered as the quantized version of the symmetry of classical gauge theories with respect to different gau…
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…
Consistent Anomalies in Translation-Invariant Noncommutative Gauge Theories
Amir Abbass Varshovi
Translation-invariant noncommutative gauge theories are discussed in the setting of matrix modeled gauge theories. Using the matrix model formulation the explicit form of consisten…
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…
Modified Partition Functions, Consistent Anomalies and Consistent Schwinger Terms
Amir Abbass Varshovi
A gauge invariant partition function is defined for gauge theories which leads to the standard quantization. It is shown that the descent equations and consequently the consistent…
Axial Symmetry, Anti-BRST Invariance and Modified Anomalies
Amir Abbass Varshovi
It is shown that anti-BRST symmetry is the quantized counterpart of local axial symmetry in gauge theories. An extended form of descent equations is worked out which yields a set o…