arXiv subjects

Ramchander R. Sastry

Publications and source records attributed to Ramchander R. Sastry.

5 recordsLinked to original sources

arXiv2000

Quantum Mechanics of Extended Objects

We propose a quantum mechanics of extended objects that accounts for the finite extent of a particle defined via its Compton wavelength. The Hilbert space representation theory of such a quantum mechanics is presented and this representation is used to demonstrate the quantization of spacetime. The quantum mechanics of extended objects is then applied to two paradigm examples, namely, the fuzzy (extended object) harmonic oscillator and the Yukawa potential. In the second example, we theoretically predict the phenomenological coupling constant of the $ω$ meson, which mediates the short range and repulsive nucleon force, as well as the repulsive core radius.

quant-ph↗

arXiv2000

Unity of Fundamental Interactions

The vector representation of the linearized gravitational field (the graviton field) or the so called quantum gravitodynamics which describes the motion of masses in a weak gravitational field is employed to understand the unity of the four known interactions. We propose a gauge group SU(3)xSU(2)xU(1)xU(1) for such a unified field theory. In this paper we study the SU(2)xU(1)xU(1) sector of the theory and in analogy to the electroweak mixing angle we define a gravitoweak mixing angle. The unified gauge field theory predicts the existence of three massive vector bosons, the Y+/- and the X^0. and two massless vector bosons, the photon and the graviton (in its vector representation). We determine the mass spectrum of the Y+/- and the X^0 and predict a modification to the fine structure constant under unified field conditions. Furthermore, we briefly discuss the implications of the extended object formulation for the gauge hierarchy problem.

hep-ph↗

arXiv2000

Quantum Gravitodynamics

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is employed to address the hitherto nonrenormalizable gravitational interaction following which the cosmological constant problem is addressed. The response of an electron to a weak gravitational field (linear approximation) is studied and the order $α$ correction to the magnetic gravitational moment is computed.

hep-th↗

arXiv2000

Renormalizability and the Scalar Field

The infinite dimensional generalization of the quantum mechanics of extended objects, namely, the quantum field theory of extended objects is presented. The paradigm example studied in this paper is the Euclidean scalar field with a $λ(ϕ^{6})/6!$ interaction in four spacetime dimensions. The theory is found to be finite when the virtual particle intermediate states are characterized by fuzzy particles instead of ordinary pointlike particles. Causality, Lorentz invariance, and unitarity (verified up to fourth order in the coupling constant) are preserved in the theory. In addition, the Kallen-Lehmann spectral representation for the propagator is discussed.

hep-th↗

arXiv1999

Quantum Electrodynamics with the Pauli Term

The quantum field theory of extended objects is employed to address the hitherto nonrenormalizable Pauli interaction. This is achieved by quantizing the Dirac field using the infinite dimensional generalization of the extended object formulation. The order $α$ contribution to the anomalous magnetic moment of the electron (and of the muon) arising from the Pauli term is calculated.

hep-th↗