9,703 research outputs found
Chaotic Dynamics of SU(2) Gauge Fields in the Presence of Static Charges
We have found in numerical simulations that the chaoticity of the classical
hamiltonian lattice SU(2) gauge theory is reduced in the presence of static
charges at the same total energy. The transition from strongly to weakly
chaotic behavior is rather sudden at a critical charge strength.Comment: LaTeX, 10 pages, 2 figs as .PS in ym_figs.uu Submitted to Chaos,
Solitons and Fractal
Non-Pickwickian Belief and 'the Gettier Problem'
That in Gettier's alleged counterexamples to the traditional analysis of knowledge as justified true belief the belief condition is satisfied has rarely been questioned. Yet there is reason to doubt that a rational person would come to believe what Gettier's protagonists are said to believe in the way they are said to have come to believe it. If they would not, the examples are not counter-examples to the traditional analysis. I go on to discuss a number of examples inspired by Gettier's and argue that they, too, fail to be counter-examples either for reasons similar to those I have urged or because it is not clear that their subject does not know
Lyapunov exponents in Minkowskian U(1) gauge theory
U(1) gauge fields are decomposed into a monopole and photon part across the
phase transition from the confinement to the Coulomb phase. We analyze the
leading Lyapunov exponents of such gauge field configurations on the lattice
which are initialized by quantum Monte Carlo simulations. We observe that the
monopole field carries the same Lyapunov exponent as the original U(1) field.
Evidence is found that monopole fields stay chaotic in the continuum whereas
the photon fields are regular.Comment: Lattice2002(topology), 3 pages, 4 figure
Ideal gas provides q-entropy
A mathematical procedure is suggested to obtain deformed entropy formulas of
type K(S_K) = sum_i P_i K(-ln P_i), by requiring zero mutual K(S_K)-information
between a finite subsystem and a finite reservoir. The use of this method is
first demonstrated on the ideal gas equation of state with finite constant heat
capacity, C, where it delivers the Renyi and Tsallis formulas. A novel
interpretation of the qstar = 2-q duality arises from the comparison of
canonical subsystem and total microcanonical partition approaches. Finally a
new, generalized deformed entropy formula is constructed for the linear
relation C(S) = C_0 + C_1 S.Comment: more introduction, citations and derivation in v3; accepted in
Physica
Strange Quark Matter Theory
Theoretical approaches to strange and other types of quark matter accounted
for at the SQM2003 Meeting are reviewed. They range from simple statistical
models through perturbative QCD supported mico-dynamical simulations til
lattice gauge theory and astrophysics results. Finally some ideas for future
research in this field are outlined.Comment: Theory summary talk given at Strange Quark Matter 2003 Conference,
March 12-17, 2003, Atlantic Beach, NC, USA. (LateX 19 pages, 15 postscript
figures.
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