681 research outputs found
General Superfield Quantization Method. III. Construction of Quantization Scheme
Extension procedure for supermanifold of superfields , ghost number construction are considered. Classical and
-deformed generating (master) equations, existence theorems for their
solutions are formulated in ,
. Analogous scheme is realized for BV similar
generating equations. Master equations versions for GSQM and BV similar scheme
are deformed in powers of superfields
= ,
into supermanifold
. Arbitrariness in a choice of solutions
for these equations is described. Investigation of formal Hamiltonian systems
for II class theories [2] defined via corresponding master equations solutions
is conducted. Gauge fixing for those theories is described by two ways.
Functional integral of superfunctions on is defined. Properties for generating functionals of Green's
superfunctions are studied. -component quantization formulation,
connection with BV method and superfield quantization [3] are established.
Quantization scheme realization is demonstrated on 6 models.Comment: 59 pages, Latex, no figure
On Lagrangian formulations for mixed-symmetry HS fields on AdS spaces within BFV-BRST approach
The key aspects of a gauge-invariant Lagrangian description of massive and
massless half-integer higher-spin fields in AdS spaces with a two-row Young
tableaux are presented in an unconstrained description, as well as
in off-shell formulations with algebraic constraints, on the basis of BFV-BRST
operators for non-linear operator superalgebras, encoding the initial
conditions realized by constraints in a Fock space and extracting the
higher-spin fields from unitary representations of the AdS group.Comment: SLightly enlarged contribution to the Proceedings of the XIII
International Conference "Selected Problems of Modern Theoretical Physics",
Dubna, Russia, June 23-27, 2008; 4 pages, no figures; v2: two references
adde
General Superfield Quantization Method. II. General Superfield Theory of Fields: Hamiltonian Formalism
In the framework of started in Ref.[1] construction procedure of the general
superfield quantization method for gauge theories in Lagrangian formalism the
rules for Hamiltonian formulation of general superfield theory of fields (GSTF)
are introduced and are on the whole considered.
Mathematical means developed in [1] for Lagrangian formulation of GSTF are
extended to use in Hamiltonian one. Hamiltonization for Lagrangian formulation
of GSTF via Legendre transform of superfunction with respect to
is considered. As result on the
space parametrized by classical
superfields , superantifields and odd Grassmann variable the
superfunction is
defined. Being equivalent to different types of Euler-Lagrange equations the
distinct Hamiltonian systems are investigated. Translations along for
superfunctions on being
associated with these systems are studied. Various types of antibrackets and
differential operators acting on are considered. Component (on )formulation for GSTF
quantities and operations is produced. Analogy between ordinary Hamiltonian
classical mechanics and GSTF in Hamiltonian formulation is proposed.
Realization of the GSTF general scheme is demonstrated on 6 models.Comment: 55 pages, LaTeX, abstract and introduction are extended, 2 references
are adde
Nonlinear Operator Superalgebras and BFV-BRST Operators for Lagrangian Description of Mixed-symmetry HS Fields in AdS Spaces
We study the properties of nonlinear superalgebras and algebras
arising from a one-to-one correspondence between the sets of
relations that extract AdS-group irreducible representations
in AdS-spaces and the sets of operators that form and
, respectively, for fermionic, , and bosonic,
, , , HS fields characterized by a Young
tableaux with two rows. We consider a method of constructing the Verma modules
, for , and
establish a possibility of their Fock-space realizations in terms of formal
power series in oscillator operators which serve to realize an additive
conversion of the above (super)algebra () ,
containing a set of 2nd-class constraints, into a converted (super)algebra
= + ( =
+ ), containing a set of 1st-class constraints
only. For the algebra , we construct an exact nilpotent
BFV--BRST operator having nonvanishing terms of 3rd degree in the powers
of ghost coordinates and use to construct a gauge-invariant Lagrangian
formulation (LF) for HS fields with a given mass (energy ) and
generalized spin =. LFs with off-shell algebraic
constraints are examined as well.Comment: Enlarged contribution to the Proceedings of the "XXVII International
Colloquium on Group Theoretical Methods in Physics", Yerevan, Armenia, August
13-19, 2008; 15 pages, no figures; v2: minor changes; v3: misprints in Eqs.
(6), (15) removed; v4: typos corrected in the footnote 1, in Eq. (34),
formula (35) adde
Basic features of General Superfield Quantization Method for gauge theories in Lagrangian formalism
The rules for superfield Lagrangian quantization method for general gauge
theories on a basis of their generalization to special superfield models within
a so-called -superfield theory of fields (-STF) are formulated.
The -superfield generating functionals of Green's functions together
with effective action are constructed. Their properties including new
interpretation and superfield realization of BRST transformations, Ward
identities are studied.Comment: v1: 6p., no figures, talk given at International Workshop
"Supersymmetries and Quantum Symmetries" - SQS'03 (Dedicated to the 75th
anniversary of the birth of V.I.Ogievetsky); JINR, Dubna; July 24-29, 2003;
v2: final version, typos corrected, formulae (1), (5), (8), (14)-(16), (21),
(26), (27), (30), (31), formulations and statements improve
Peculiarities of temperature dependence for generalized Hall-Petch law and two-phase model for deformable polycrystalline materials
In the framework of the suggested in [arxiv:1803.08247 [cond-mat.mtrl-sci]]
statistical theory of the equilibrium flow stress, including yield strength,
, of polycrystalline materials under quasi-static (in case of
tensile strain) plastic deformation in dependence on average size, d, of the
crystallites (grains) in the range, m - m. it is found the
coincidences of the theoretical and experimental data of for the
materials with BCC (- Fe), FCC (Cu, Al, Ni) and HCP (-Ti,
Zr) crystal lattice at T=300K. The temperature dependence of the strength
characteristics is studied. It is shown on the example of Al, that the yield
strength grows with decreasing of the temperature for all grains with d greater
than (with being extremal size of the grain for maximal
) and then decreases in the nano-crystalline region,
thus determining a temperature-dimension effect. Stress-strain curves,
, are constructed for the pure crystalline phase
of -Fe with Backofen-Consid\'ere fracture criterion validity. The
single-phase model of polycrystalline material is augmented by means of
inclusion of a softening grain boundary phase.Comment: 11 pages, 3 figures, 4 tables, pdf-version only, bad term "vacancy"
is changed on "nanopore", definition of temperature-dimension effect
introduced, footnotes 2,4,6 added, description of twinning in terms of
partial dislocations, equilibrium flow stress and comments added, typo in Eq.
2 corrected, Eq.3 extended, 3 references adde
Gauge-invariant Lagrangians for mixed-antisymmetric higher spin fields
Lagrangian descriptions of irreducible and reducible integer higher-spin
representations of the Poincare group subject to a Young tableaux
with two columns are constructed within a metric-like
formulation in a -dimensional flat space-time on the basis of a BRST
approach extending the results of [arXiv:1412.0200[hep-th]]. A
Lorentz-invariant resolution of the BRST complex within both the constrained
and unconstrained BRST formulations produces a gauge-invariant Lagrangian
entirely in terms of the initial tensor field subject to with an additional
tower of gauge parameters realizing the -th stage of
reducibility with a specific dependence on the value
. Minimal BRST--BV action is
suggested, being proper solution to the master equation in the minimal sector
and providing objects appropriate to construct interacting Lagrangian
formulations with mixed-antisymmetric fields in a general framework.Comment: 8 pages, extended Contribution to the Proceedings of the
International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2015,
August 3 - August 8, 2015, Dubna, Russia); corrections in (4),(19) were made;
ref.25, footnote 1 added; acknowledgements, footnote 2 with comments on gauge
transformations in [28, 29] updated; resulting actions (18), (19) correcte
General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
We continue the construction of a Lagrangian description of irreducible
half-integer higher-spin representations of the Poincare group with an
arbitrary Young tableaux having rows, on a basis of the BRST--BFV approach
suggested for bosonic fields in our first article (Nucl. Phys. B862 (2012) 270,
[arXiv:1110.5044[hep-th]). Starting from a description of fermionic
mixed-symmetry higher-spin fields in a flat space of any dimension in terms of
an auxiliary Fock space associated with a special Poincare module, we realize a
conversion of the initial operator constraint system (constructed with respect
to the relations extracting irreducible Poincare-group representations) into a
system of first-class constraints. To do this, we find, in first time, by means
of generalized Verma module the auxiliary representations of the constraint
subsuperalgebra, to be isomorphic due to Howe duality to
superalgebra, and containing the subsystem of second-class constraints in terms
of new oscillator variables. We suggest a universal procedure of finding
unconstrained gauge-invariant Lagrangians with reducible gauge symmetries,
describing the dynamics of both massless and massive fermionic fields of any
spin. It is shown that the space of BRST cohomologies with a vanishing ghost
number is determined only by constraints corresponding to an irreducible
Poincare-group representation. As examples of the general approach, we propose
a method of Lagrangian construction for fermionic fields subject to an
arbitrary Young tableaux having 3 rows, and obtain a gauge-invariant Lagrangian
for a new model of a massless rank-3 spin-tensor field of spin (5/2,3/2) with
first-stage reducible gauge symmetries and a non-gauge Lagrangian for a massive
rank-3 spin-tensor field of spin (5/2,3/2).Comment: 69 pages, no figures, published version, misprints with HS
subsuperalgebra osp(1|2k) correcte
On Lagrangian Formulation for Half-integer HS Fields within Hamiltonian BRST Approach
A recent progress in a gauge-invariant Lagrangian description of massive and
massless half-integer higher-spin fields in AdS and Minkowski spaces is
presented. The procedure is based on a BFV-BRST operator, encoding the initial
conditions realized by constraints in a Fock space and extracting the
higher-spin fields from unitary irreducible representations of the AdS
(Poincare) group. The construction is applicable to higher-spin tensor fields
with a multi-row Young tableaux.Comment: 5 pages, Contribution to Proceedings of the International Workshop
"Supersymmetries and Quantum Symmetries", Dubna, July, 30 - August, 4, 2007,
added referenc
On Composite fields approach to Gribov copies elimination in Yang-Mills theories
We suggest a method of introducing the Gribov--Zwanziger horizon functional,
, for Yang--Mills theories by using the composite fields technique: . A different form of the same horizon functional in gauges
and is taken into account via (gauged) field-dependent BRST
transformations connecting quantum Yang--Mills actions in these gauges. We
introduce generating functionals of Green's functions with composite fields and
derive the corresponding Ward identities. A study of gauge dependence shows
that the effective action in Yang--Mills theories with the composite field
does not depend on the gauge on the extremals determined by the Yang--Mills
fields alone.Comment: 7 pages, no figures, extended Contribution to the Proceedings of the
International Workshop "Supersymmetry and Quantum Symmetries" (SQS'2013, July
29 - August 3, 2013, Dubna, Russia); acknowledgments and references adde
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