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S. N. Vergeles

Publications and source records attributed to S. N. Vergeles.

At least 19 recordsLinked to original sources
arXiv2025

Unitarity of 4D Lattice Theory of Gravity

The unitarity of the 4D lattice theory of gravity in the case of the Minkowski signature is proved. The proof is valid only for lattices that conserve the number of degrees of freedom during time evolution. The Euclidean signature and the Minkowski signature are related by the deformation of the integration contours of dynamic variables in a discrete lattice functional integral. It is important that the result is obtained directly on the lattice. Since the studied lattice theory of gravity in the long-wave limit transforms into the well-known Einstein-Cartan-Palatini theory, the obtained result means that this lattice theory of gravity has the right to be considered as a discrete regularization of the generally accepted continuous physical theory of gravity.

hep-lat↗
arXiv2024

Phase transition near the Big Bang in the lattice theory of gravity

Lattice regularization of the theory of gravity provides a new possibility for study of the Big Bang problem. In the 4D lattice theories of gravity, the existence of a high-temperature phase is proved, which is characterized by the folding of space into a point and zeroing of the energy-momentum tensor. The existence of a low-temperature phase in the long-wave limit is also shown, the geometric properties of which and its dynamics correspond to known concepts: the expansion of the Universe first follows an exponential law, and then smoothly transitions to a power-law regime.

gr-qc↗
arXiv2024

An alternative idea about the source of baryon asymmetry in the Universe

The paper proposes an alternative scenario for the emergence of baryon asymmetry in the Universe. This scenario is realized in the lattice gravity model associated with the Dirac field as follows. At ultra-high temperatures of the Grand Unification order $T_c\sim10^{18}$ GeV and higher, the system is in a PT-symmetric phase. But when the temperature decreases, a phase transition to an asymmetric phase occurs, in which a non-zero tetrad appears, that is, space-time with the Minkowski metric, and the system's wave function splits into two: $|\rangle=|+\rangle+|-\rangle$. The fields of tetrads in states $|+\rangle$ and $|-\rangle$ differ in sign. At the very first moment of time with a duration of the order of the Planck time, a transition of fermions between these states is possible. These transitions in different parts of space are not correlated with each other. Therefore, the final asymmetry of the fermion charge between these states is relatively extremely small and it is preserved in time, since the interaction of the states $|+\rangle$ and $|-\rangle$ ceases at times greater than the Planck time.

hep-lat↗
arXiv2022

Domain wall between the Dirac sea and the "anti-Dirac sea"

It was shown in work \cite{vergeles2021note} that in the theory of gravity coupled with the Dirac field, each state $|λ\rangle$ has its own twin $|λ;PT\rangle$, which is obtained by a discrete PT transformation. If in the state $|λ\rangle$ the Dirac sea is filled, then in the state $|λ;PT\rangle$ there is an "anti-Dirac" filling (in terms of the state $|λ\rangle$). It is important that the energies of these states are the same. Therefore, there may be domains with different filling of the Dirac sea. Here we study a domain wall connecting two such adjacent domains.

hep-th↗
arXiv2021

A note on the vacuum structure to lattice Euclidean quantum gravity

It is shown that the ground state or vacuum to the lattice Euclidean quantum gravity is significantly different from the ground states to the well-known vacua in QED, QCD, et cetera. In the case of the lattice Euclidean quantum gravity, the long-wavelength scale vacuum structure is similar to that in QED, moreover the quantum fluctuations to gravity are very reduced in comparison with the situation in QED. But the small scale (of the order of the lattice scale) vacuum structure to gravity is significantly different from that to the long-wavelength scales: the fluctuation values of geometrical degrees of freedom (tetrads) are commensurable with theirs most probable values.

hep-lat↗
arXiv2020

General relativity and precision tests of fundamental symmetries

Search for the Electric Dipole Moment of nuclear particles is at the forefront of incessant quest for CP violation beyond Standard Model. The ultimate target is to reach a sensitivity to the electric dipole moment of neutrons, protons, deuterons etc. at the level of $\sim 10^{-15}$ nuclear magnetons. Defying the common lore on weakness of gravity, spurious signals induced by curved space-time in the gravity field of the rotating Earth become quite substantial at such a daunting sensitivity. We review the recent development in the field with an emphasis on the geometric magnetic field in pure electrostatic systems at rest on the rotating Earth.

hep-ph↗
arXiv2020

Nonvanishing magnetic field in pure electrostatic systems at rest in the curved space-time of Earth

Solutions of the Maxwell equations for electrostatic systems at rest on the rotating Earth's surface are shown to exhibit a nonvanishing magnetic field despite zero electric currents in the system. Such a field is of pure geometric origin, and in contrast to the conventional magnetic field of the Earth it can not be screened away by magnetic shielding. A practical significance of this magnetic field is that its EDM-like background signal would persist in the much discussed searches for the EDM of charged particles of magic energy trapped in all electric storage rings, as well as in the neutron EDM experiments.

physics.gen-ph↗
arXiv2018

Existence of an effective fermion vertex to lattice gravity

It is shown that an effective fermion vertex arises to lattice gravity coupled with fermions. The vertices are associated with gravitational instantons, much as the effective fermion vertices arising due to the existence of fermion zero modes associated with instantons in the Yang-Mills theory.

hep-th↗
arXiv2015

Wilson fermion doubling phenomenon on irregular lattice: the similarity and difference with the case of regular lattice

It is shown that the Wilson fermion doubling phenomenon on irregular lattices (simplicial complexes) does exist. This means that the irregular (not smooth) zero or soft modes exist. The statement is proved on 4 Dimensional lattice by means of the Atiyah-Singer index theorem, then it is extended easily into the cases $D<4$. But there is a fundamental difference between doubled quanta on regular and irregular lattices: in the latter case the propagator decreases exponentially. This means that the doubled quanta on irregular lattice are "bad" quasiparticles.

hep-lat↗
arXiv2014

Neutrino oscillations: another physics?

It is shown that the neutrino oscillations phenomenon may be attributed to the Wilson fermion doubling phenomenon. The Wilson fermion doubling exists only on the lattices, both periodic and non-periodic (simplicial complexes). Just the last case plays a key role here. Thereby, the neutrino oscillations may show for the existence of a space-time granularity.

hep-th↗
arXiv2005

One more variant of discrete gravity having "naive" continual limit

Some variant of discrete quantum theory of gravity having "naive" continuum limit is constructed. It is shown that in a highly compressed state of universe a sort of "high-temperature expansion" is valid and, thus, the confinement of "color" takes place at early stage of universe expansion. In the considered theory any nontrivial representation of the local Lorentz group (i.e. spinor, vector and so on fields) play the role of color. The arguments are given in favor of a significant noncompact packing of quantized field modes in momentum space.

hep-th↗