6,974 research outputs found
Scale-dependent stochastic quantization
Based on the wavelet-defined multiscale random noise proposed in [Doklady
Physics 2003, v.48, 478], a multiscale version of the stochastic quantization
procedure is considered. A new type of the commutation relations emerging from
the multiscale decomposition of the operator-valued fields is derivedComment: Talk at FFP6 International Conference, Udine, Italy, Sep 2004. LaTeX,
7 pages, 5 eps figure
Field Strength Formulation of SU(2) Yang-Mills Theory in the Maximal Abelian Gauge: Perturbation Theory
We present a reformulation of SU(2) Yang-Mills theory in the maximal Abelian
gauge, where the non-Abelian gauge field components are exactly integrated out
at the expense of a new Abelian tensor field. The latter can be treated in a
semiclassical approximation and the corresponding saddle point equation is
derived. Besides the non-trivial solutions, which are presumably related to
non-perturbative interactions for the Abelian gauge field, the equation of
motion for the tensor fields allows for a trivial solution as well. We show
that the semiclassical expansion around this trivial solution is equivalent to
the standard perturbation theory. In particular, we calculate the one-loop
-function for the running coupling constant in this approach and
reproduce the standard result.Comment: 29 pages LaTeX, 6 postscript figures. Version to be published in Int.
J. Mod. Phys.
Systematic approach to cyclic orbifolds
We introduce an orbifold induction procedure which provides a systematic
construction of cyclic orbifolds, including their twisted sectors. The
procedure gives counterparts in the orbifold theory of all the
current-algebraic constructions of conformal field theory and enables us to
find the orbifold characters and their modular transformation properties.Comment: 39 pages, LaTeX. v2,3: references added. v4: typos correcte
Logic Programming for Finding Models in the Logics of Knowledge and its Applications: A Case Study
The logics of knowledge are modal logics that have been shown to be effective
in representing and reasoning about knowledge in multi-agent domains.
Relatively few computational frameworks for dealing with computation of models
and useful transformations in logics of knowledge (e.g., to support multi-agent
planning with knowledge actions and degrees of visibility) have been proposed.
This paper explores the use of logic programming (LP) to encode interesting
forms of logics of knowledge and compute Kripke models. The LP modeling is
expanded with useful operators on Kripke structures, to support multi-agent
planning in the presence of both world-altering and knowledge actions. This
results in the first ever implementation of a planner for this type of complex
multi-agent domains.Comment: 16 pages, 1 figure, International Conference on Logic Programming
201
The Orbifolds of Permutation-Type as Physical String Systems at Multiples of c=26 IV. Orientation Orbifolds Include Orientifolds
In this fourth paper of the series, I clarify the somewhat mysterious
relation between the large class of {\it orientation orbifolds} (with twisted
open-string CFT's at ) and {\it orientifolds} (with untwisted open
strings at ), both of which have been associated to division by
world-sheet orientation-reversing automorphisms. In particular -- following a
spectral clue in the previous paper -- I show that, even as an {\it interacting
string system}, a certain half-integer-moded orientation orbifold-string system
is in fact equivalent to the archetypal orientifold. The subtitle of this
paper, that orientation orbifolds include and generalize standard orientifolds,
then follows because there are many other orientation orbifold-string systems
-- with higher fractional modeing -- which are not equivalent to untwisted
string systems.Comment: 22 pages, typos correcte
Another Look at History
Stephen Roskill’s two-volume Naval Policy between the Wars (London: Collins, 1968 and 1976) has dominated the history of Britain’s interwar navy. Roskill—author of the official British naval history of World War II—had a vast store of knowledge, as well as personal experience and contacts with many of the individuals about whom he wrote
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