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Peter Leifer

Publications and source records attributed to Peter Leifer.

30 records · Page 2Linked to original sources
arXiv2006

Geometry of the divergences problem in QFT

The divergences problem in QFT should be overcame presumably due to the unification of the fundamental interactions. We evidently cannot to achieve this goal now. Together with this there are divergences in problems where the high-energy processes simply cannot be involved (say electron self-energy, Lamb's shift, etc.). Last ones reflect the formal character of perturbation theory applied to interacting secondly quantized amplitudes of the pointwise particles. These difficulties are borrowed partly from the classical theory. I would like to establish some general framework for the future unified theory avoiding to use the method of classical analogy.

physics.gen-ph↗
arXiv2005

The affine gauge theory in the quantum phase space CP(N-1)

In the present article I propose a non-linear relativistic 4-d field model originated by the internal dynamics in CP(N-1). There is no initially distinction between `particle' and `field', and the space-time manifold is derivable. The main idea is to base the theory on the relative amplitudes solely. Quantum measurements will be described in terms of the parallel transport of the local dynamical variables and a specific gauge reduction of the full state vector to the Qubit coherent state. I will discuss here field equations of quantum particle arising in the dynamical space-time.

gr-qc↗
arXiv1999

Underlying Field Structure of Matter

Intrinsic unfication of quantum theory and general relativity based on the underlying quantum dynamics of fundamental field has been proposed.

gr-qc↗
arXiv1997

Quantum Field Theory on Fock Projective Space

It is shown that some analog of the ``second quantization'' exists in the framework of CP(N) theory. I analyse conditions under that ``geometrical bosons'' may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.

hep-th↗
arXiv1997

Dynamical Spacetime and the Curvature of Projective State Space

If universal quantum interaction is really connected with the coset structure of deformations of quantum states then the curvature of projective Hilbert state space should be observable. I discuss some approach to the measurement of curvature-dependent values.

gr-qc↗
arXiv1997

The Nonlinear Quantum Gauge Theory-Superrelativity

A new type of a nonlinear gauge quantum theory (superrelativity) has been proposed. Such theory demands a radical reconstruction of both the quantum field conception and spacetime structure, and this paves presumably way to the comprehension of the quantum nature of inertia.

gr-qc↗
arXiv1997

Nonlinear modification of quantum mechanics

In order to prevent ``unavoidable'' break-down of the ``peaceful coexistence'' between foundations of quantum theory and relativity I propose a new type of a quantum gauge theory (superrelativity). This differs from ordinary gauge theories in the sense that the affine connection of this theory is constructed from first derivatives of the Fubini-Study metric tensor in the projective Hilbert space of the pure quantum states CP(N). That is we have not merely analogy with general relativity but this construction should presumably provide a unification of general relativity and quantum theory.

hep-th↗
arXiv1997

Why we can not see the curvature of the quantum state space?

A new type of gauge quantum theory (superrelativity) has been proposed. This differs from ordinary gauge theories in sense that the affine connection of our theory is constructed from first derivatives of the Fubini-Study metric tensor. That is we have not merely analogy with general relativity but this construction should presumably provide a unification of general relativity and quantum theory. Here we shall discuss the physical meaning of metric properties of the projective Hilbert space and manifestation of its nontrivial physical character.

gr-qc↗
arXiv1996

Superrelativity as a unification of quantum theory and relativity(II)

A underlying dynamical structure for both relativity and quantum theory-``superrelativity'' has been proposed in order to overcome the well known incompatibility between these theories. The relationship between curvature of spacetime (gravity) and curvature of the projective Hilbert space of pure quantum states is established as well.

gr-qc↗
arXiv1996

Quantum theory requires gravity and superrelativity

The ordinary quantum theory points out that general relativity is negligible for spatial distances up to the Planck scale. Consistency in the foundations of the quantum theory requires a``soft'' spacetime structure of the general relativity at essentially longer length. However, for some reasons this appears to be not enough. A new framework (``superrelativity'') for the desirable generalization of the foundation of quantum theory is proposed. A generalized non-linear Klein-Gordon equation has been derived in order to shape a stable wave packet.

gr-qc↗
arXiv1996

Superrelativity as a unification of quantum theory and relativity

Principle of ``Superrelativity'' has been proposed in order to avoid the contradiction between principle of relativity and foundations of quantum theory. Solutions of a newly derived non-linear Klein-Gordon equation presumably may be treated as primordial nonlocal elements of quantum theory. It is shown that in the framework of CP(N-1) model supplementary elements which are non-local in spacetime but local in the projective Hilbert space permit us to avoid at least one of the main difficulties of quantum theory-the necessity to relate the ``reality'' of a quantum state with a measuring process. In the framework of superrelativity the geometry of the projective Hilbert space (Fubini-Study metric and connection) together with the non-linear wave equation are full and closed quantum scheme.

quant-ph↗