226 research outputs found
Two approaches to anomaly-free quantization of general covariant systems on an example of a two-dimensional string
In this paper we discuss two approaches to anomaly-free quantization of a
two-dimensional string. The first approach is based on the canonical Dirac
prescription of quantization of degenerated systems. At the second approach we
"weaken" the Dirac quantization conditions requiring the solving of first class
constraints only in the sense of mean values. At both approaches there are no
states with the indefinite metrics.Comment: LATEX, 14 pages, no figure
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.Comment: 13 page
The Dynamic Quantization of Gravity and the Cosmological Constant Problem
After a brief outlook of the dynamic quantization method and application of
the method to gravity the idea of natural solution of cosmological constant
problem in inflating Universe is presented.Comment: 22 page
A new approach to quantization of gravity. 2+1-dimensional example
In this paper the quantization of the 21-dimensional gravity couplet to
the massless Dirac field is carried out. The problem is solved by the
application of the new Dynamic Quantization Method [1,2]. It is well-known that
in general covariant theories such as gravitation, a Hamiltonian is any linear
combination of the first class constraints, which can be considered as gauge
transformation generators. To perform quantization, the Dirac field modes with
gauge invariant creation and annihilation operators are selected. The
regularization of the theory is made by imposing an infinite set of the second
class constraints: almost all the gauge invariant creation and annihilation
operators (except for a finite number) are put equal to zero. As a result the
regularized theory is gauge invariant. The gauge invariant states are built by
using the remained gauge invariant fermion creation operators similar to the
usual construction of the states in any Fock space. The developed dynamic
quantization method can construct a mathematically correct perturbation theory
in a gravitational constant.Comment: 30 pages, LaTex, no figure
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.Comment: 6 pages. arXiv admin note: text overlap with arXiv:1709.10001,
arXiv:1701.0217
Fermion zero mode associated with instantonlike self-dual solution to lattice Euclidean gravity
We prove the existence of lattice fermion zero mode associated with self-dual
lattice gravity solution.Comment: 10 page
Canonical quantization of two-dimensional gravity
A canonical quantization of two-dimensional gravity minimally coupled to real
scalar and spinor Majorana fields is presented. The physical state space of the
theory is completely described and calculations are also made of the average
value of the metric tensor relative to states close to the ground stateComment: 26 pages, LaTe
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 . 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.Comment: 20 pages, 3 figure
The lattice quantum gravity, its continuum limit and the cosmological constant problem
It is shown that in the frame of discrete quantum theory of gravity
constructed by S. N. Vergeles, the cosmological constant problem in inflating
universe has a natural solution.Comment: 20 pages, 1 figur
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.Comment: 4 pages, 3 figure
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