28,185 research outputs found
Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism
The gauge dependence of the effective action of composite fields for general
gauge theories in the framework of the quantization method by Batalin, Lavrov
and Tyutin is studied. The corresponding Ward identities are obtained. The
variation of composite fields effective action is found in terms of new set of
operators depending on composite field. The theorem of the on-shell gauge
fixing independence for the effective action of composite fields in such
formalism is proved. brief discussion of gravitational-vector induced
interaction for Maxwell theory with composite fields is given.Comment: Typos corrected. Latex fil
Dissipation and quantization for composite systems
In the framework of 't Hooft's quantization proposal, we show how to obtain
from the composite system of two classical Bateman's oscillators a quantum
isotonic oscillator. In a specific range of parameters, such a system can be
interpreted as a particle in an effective magnetic field, interacting through a
spin-orbit interaction term. In the limit of a large separation from the
interaction region one can describe the system in terms of two irreducible
elementary subsystems which correspond to two independent quantum harmonic
oscillators.Comment: 9 page
Quantum properties of general gauge theories with composite and external fields
The generating functionals of Green's functions with composite and external
fields are considered in the framework of BV and BLT quantization methods for
general gauge theories. The corresponding Ward identities are derived and the
gauge dependence is investigatedComment: 24 pages, LATEX, slightly changed to clarify the essential new aspect
concerning composite fields depending on external ones; added formulas
showing lack of (generalized) nilpotence of operators appearing in the Ward
identitie
Composite Correlation Quantization for Efficient Multimodal Retrieval
Efficient similarity retrieval from large-scale multimodal database is
pervasive in modern search engines and social networks. To support queries
across content modalities, the system should enable cross-modal correlation and
computation-efficient indexing. While hashing methods have shown great
potential in achieving this goal, current attempts generally fail to learn
isomorphic hash codes in a seamless scheme, that is, they embed multiple
modalities in a continuous isomorphic space and separately threshold embeddings
into binary codes, which incurs substantial loss of retrieval accuracy. In this
paper, we approach seamless multimodal hashing by proposing a novel Composite
Correlation Quantization (CCQ) model. Specifically, CCQ jointly finds
correlation-maximal mappings that transform different modalities into
isomorphic latent space, and learns composite quantizers that convert the
isomorphic latent features into compact binary codes. An optimization framework
is devised to preserve both intra-modal similarity and inter-modal correlation
through minimizing both reconstruction and quantization errors, which can be
trained from both paired and partially paired data in linear time. A
comprehensive set of experiments clearly show the superior effectiveness and
efficiency of CCQ against the state of the art hashing methods for both
unimodal and cross-modal retrieval
Second quantization techniques in the scattering of nonidentical composite bodies
Second quantization techniques for describing elastic and inelastic interactions between nonidentical composite bodies are presented and are applied to nucleus-nucleus collisions involving ground-state and one-particle-one-hole excitations. Evaluations of the resultant collision matrix elements are made through use of Wick's theorem
Noncommutative Space-time from Quantized Twistors
We consider the relativistic phase space coordinates (x_{\mu},p_{\mu}) as
composite, described by functions of the primary pair of twistor coordinates.
It appears that if twistor coordinates are canonicaly quantized the composite
space-time coordinates are becoming noncommutative. We obtain deformed
Heisenberg algebra which in order to be closed should be enlarged by the
Pauli-Lubanski four-vector components. We further comment on star-product
quantization of derived algebraic structures which permit to introduce
spin-extended deformed Heisenberg algebra.Comment: 7 pages; talk given at the Conference in Honour of 90-th Birthday of
Freeman Dyson at Nanyang Technical University, Singapore,26-29.08.2013; to be
published in Int.Journ.Mod.Phys.
- …