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Marcin Daszkiewicz

Publications and source records attributed to Marcin Daszkiewicz.

49 records · Page 3Linked to original sources
arXiv2009

Newton equation for canonical, Lie-algebraic and quadratic deformation of classical space

The Newton equation describing the particle motion in constant external field force on canonical, Lie-algebraic and quadratic space-time is investigated. We show that for canonical deformation of space-time the dynamical effects are absent, while in the case of Lie-algebraic noncommutativity, when spatial coordinates commute to the time variable, the additional acceleration of particle is generated. We also indicate, that in the case of spatial coordinates commuting in Lie-algebraic way, as well as for quadratic deformation, there appear additional velocity and position-dependent forces.

math-ph↗
arXiv2009

Canonical and Lie-algebraic twist deformations of Galilei algebra

We describe various nonrelativistic contractions of two classes of twisted Poincare algebra: canonical one ($θ_{μν}$-deformation) and the one leading to Lie-algebraic models of noncommutative space-times. The cases of contraction-independent and contraction-dependent twist parameters are considered. We obtain five models of noncommutative nonrelativistic space-times, in particular, two new Lie-algebraic nonrelativistic deformations of space-time, respectively, with quantum time/classical space and with quantum space/classical time.

hep-th↗
arXiv2009

Canonical and Lie-algebraic twist deformations of $κ$-Poincare and contractions to $κ$-Galilei algebras

We propose canonical and Lie-algebraic twist deformations of $κ$-deformed Poincare Hopf algebra which leads to the generalized $κ$-Minkowski space-time relations. The corresponding deformed $κ$-Poincare quantum groups are also calculated. Finally, we perform the nonrelativistic contraction limit to the corresponding twisted Galilean algebras and dual Galilean quantum groups.

math-ph↗
arXiv2008

Generalized twist deformations of Poincare and Galilei Hopf algebras

The three new deformed Poincare Hopf algebras are constructed with use of twist procedure. The corresponding relativistic space-times providing the sum of canonical and Lie-algebraic type of noncommutativity are proposed. Finally, the nonrelativistic contraction limits to the corresponding Galilei Hopf algebras are performed.

math-ph↗
arXiv2007

High spin particles with spin-mass coupling II

The classical and quantum model of high spin particles with spin-mass coupling is presented in this paper. The mass spectrum of the model is symmetric with respect to particle-antiparticle exchange. The quantum model contains elementary particles and the cluster states generating infinite degeneracy of the mass spectrum.

hep-th↗
arXiv2007

High spin particles with spin-mass coupling

The classical and quantum model of high spin particles is proposed and analyzed in this paper. The covariant quantization leads to the spectrum of the particles with the masses correlated with their spins. The particles (and anti-particles) appear to be orphaned as their potential anti-particle partners are of different mass.

hep-th↗
arXiv2007

Noncommutative Translations and $\star$-Product Formalism

We consider the noncommutative space-times with Lie-algebraic noncommutativity (e.g. $κ$-deformed Minkowski space). In the framework with classical fields we extend the $\star$-product in order to represent the noncommutative translations in terms of commutative ones. We show the translational invariance of noncommutative bilinear action with local product of noncommutative fields. The quadratic noncommutativity is also briefly discussed.

hep-th↗
arXiv2006

Anomalus BRST Complexes for Non-Critical Massive Strings

It is shown that the BRST resolution of the spaces of physical states of non-critical (anomalus) massive string models can be consistently defined. The appropriate anomalus complexes are obtained by canonical restrictions of the ghost extended spaces to the kernel of curvature operator and additional Gupta-Bleuler like conditions without any modifications of the matter sector. The cohomologies of the polarized anomalus complex are calculated and analyzed in details.

hep-th↗
arXiv1999

Light-cone formulation and spin spectrum of non-critical fermionic string

A free fermionic string quantum model is constructed directly in the light-cone variables in the range of dimensions $1<d<10$. It is shown that after the GSO projection this model is equivalent to the fermionic massive string and to the non-critical Rammond-Neveu-Schwarz string. The spin spectrum of the model is analysed. For $d=4$ the character generating functions is obtained and the particle content of first few levels is numerically calculated.

hep-th↗