We show that many well-known quantum field theories emerge as representations of a single $^\\ast$-algebra. These include free quantum field theories in flat and curved space-times, lattice quantum field theories, Wightman quantum field theories, and string theories. We prove that such theories...
被引量: 80发表: 2010年 Quantum field theory on a growing lattice We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points鈥攁nd hence ... BZ Foster,T Jacobson - arXiv 被引量: 33发表: 2004年 加载更多来...
It is well-known that semi-simple Lie groups and their quantum group counterparts are distinguished by their special mathematical properties. These properties enable one to find exact solutions of this type in many field theories. This paper is devoted to some examples of these theories. Firstly,...
TOPOLOGICAL QUANTUM FIELD THEORIES ASSOCIATED TO FINITE GROUPS AND CROSSED G-SETS Using methods suggested by the work of Turaev and Viro [11, 12], we provide a detailed construction of topological quantum field theories associated to fin... YETTER,DAVID N. - 《Journal of Knot Theory & Its Ra...
This article gives a pedagogical review of recent work in which the Einstein-Hilbert gravitational action is obtained as a symmetry-breaking effect in quantum field theory. Particular emphasis is placed on the case of renormalizable field theories with dynamical scale-invariance breaking, in which th...
We provide a mathematical definition of a low energy scaling limit of a sequence of general non-relativistic quantum theories in any dimension, and apply our formalism to anyonic chains. We formulate Conjecture 4.3 on conditions when a chiral unitary rational (1+1)-conformal field theory would ar...
E. Witten, Topological quantum field theory. Commun. Math. Phys. 117, 353–386 (1988) ADS MathSciNet MATH Google Scholar G.T. Horowitz, Exactly soluble diffeomorphism invariant theories. Commun. Math. Phys. 125, 417–437 (1989) ADS MathSciNet MATH Google Scholar M. Blau, G. Thompson...
n34420* --physics (theoretical)--quantum field theories elementary particles field theory interactions quantum mechanics strong interactions elementary particles/interactions of, field theory for strong hadrons/interactions of, field theory for strong quantum field theory/ formulation for strong interactions...
n76200* --physics (theoretical)--quantum field theorieselectronsmuonsquantum electrodynamicscharged particleseigenvalueselectromagnetic fieldsmotionThe classical motion of a charged mass point in its own electromagnetic field may be described by two different, however mathematically equivalent, systems of ...
QNMs are essential for the AdS/CFT correspondence because they define the relaxation durations of dual-field theories [43, 44]. For quark-gluon plasmas [50,51,52], the QNMs of asymptotically AdS BHs play a crucial role in the holographic description. Another remarkable possibility is raised ...