Results 1 to 10 of about 60,595 (67)

Topological Observables in Semiclassical Field Theories [PDF]

, 1992
We give a geometrical set up for the semiclassical approximation to euclidean field theories having families of minima (instantons) parametrized by suitable moduli spaces ${\cal M}$.
't Hooft, Atiyah, Besse, Cesare Reina, Donaldson, Ebin, Ellis, Gel'fand, Gepner, Grossier, Labastida, Margherita Nolasco, Palais, Singer, Siu, Stromme, Witten, Yamasaki   +17 more
core   +3 more sources

Topological convolution algebras [PDF]

, 2013
In this paper we introduce a new family of topological convolution algebras of the form $\bigcup_{p\in\mathbb N} L_2(S,\mu_p)$, where $S$ is a Borel semi-group in a locally compact group $G$, which carries an inequality of the type $\|f*g\|_p\le A_{p,q}\|
Alpay, Daniel, Salomon, Guy
core   +3 more sources

Holomorphic Quantization of Linear Field Theory in the General Boundary Formulation [PDF]

, 2012
We present a rigorous quantization scheme that yields a quantum field theory in general boundary form starting from a linear field theory. Following a geometric quantization approach in the K\"ahler case, state spaces arise as spaces of holomorphic ...
Oeckl, Robert
core   +4 more sources

Entropy and induced dynamics on state spaces [PDF]

, 2004
We consider the topological entropy of state space and quasi-state space homeomorphisms induced from C*-algebra automorphisms. Our main result asserts that, for automorphisms of separable exact C*-algebras, zero Voiculescu-Brown entropy implies zero ...
Kerr, David
core   +1 more source

Quantum Gravity as Topological Quantum Field Theory [PDF]

, 1995
The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.Comment: 23 pages, amstex, JMP special
Barrett, John W.
core   +3 more sources

A stochastic derivation of the geodesic rule [PDF]

, 2006
We argue that the geodesic rule, for global defects, is a consequence of the randomness of the values of the Goldstone field $\phi$ in each causally connected volume. As these volumes collide and coalescence, $\phi$ evolves by performing a random walk on
Deligne P., Digal S., Gromov M., Kleman M., NIKOS KALOGEROPOULOS, Stroock D. W., Stroock D. W., Van Kampen N. G., Vilenkin A., Wagner C.   +9 more
core   +2 more sources

Dynamical versus diffraction spectrum for structures with finite local complexity [PDF]

, 2014
It is well-known that the dynamical spectrum of an ergodic measure dynamical system is related to the diffraction measure of a typical element of the system.
Aernout, Daniel Lenz, Michael Baake, Van Enter   +3 more
core   +3 more sources

Amenability, extreme amenability, model-theoretic stability, and dependence property in integral logic

, 2016
This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic.
Khanaki, Karim
core   +1 more source

Continuous selections of multivalued mappings

, 2014
This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012.
A. Askoy, A. Brown, A. Fryszkowski, A. Karassev, A. Kisielewicz, A. L. Brown, A. Smajdor, B. Alleche, Ch. Horvath, Ch. Horvath, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, D. Repovš, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. A. Michael, E. Livshits, E. Shchepin, E. Tymchatyn, F. Blasi, F. Blasi, F. Blasi, F. Deutsch, F. Levy, G. Ivanov, G. Ivanov, G. Mägerl, H. Ben-El-Mechaiekh, H. Corson, H. Wicke, I. Blum, I. Ivanšić, I. Shishkov, I. Shishkov, I. Shishkov, I. Shishkov, J. J. Sánchez-Gabites, J. Markin, J. Markin, J. Mill, J. Vial, K. Ryutin, K. Ryutin, M. Balashov, M. Balashov, M. Balashov, M. Balashov, M. Choban, M. Choban, M. Choban, M. Khamsi, M. Vel, M. Zarichnyi, M. Zippin, N. Brodsky, N. Makala, P. Saveliev, P. Semenov, P. V. Semenov, R. Bielawski, S. Konyagin, S. Nedev, T. Banakh, T. Dobrowolski, T. Dobrowolski, T. Przymusinski, T. Yamauchi, T. Yamauchi, T. Yamauchi, T. Yamauchi, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. G. Gutev, V. Gorokhovik, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Gutev, V. Protasov, V. V. Fillipov, V. V. Fillipov, V. V. Fillipov, V. V. Uspenskii, X. Ding, X. Wu   +100 more
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General boundary quantum field theory: Foundations and probability interpretation

, 2008
We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes for arbitrary spacetime regions.
Oeckl, Robert
core   +1 more source