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Path integrals: From quantum mechanics to photonics
The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take the system from the initial to its final state of its dynamical evolution,
Charles W. Robson +3 more
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Formal Integration: FDI and trade in Europe [PDF]
AbstractThe paper seeks to explain why formal integration, i.e. membership of the European Union (EU), should matter to Central and Eastern Europe (CEE) by testing a number of hypotheses about the relationship, respective levels and intensity of relationship of the two fundamental forces of real integration: trade and foreign direct investment (FDI ...
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Spinning geodesic Witten diagrams
We present an expression for the four-point conformal blocks of symmetric traceless operators of arbitrary spin as an integral over a pair of geodesics in Anti-de Sitter space, generalizing the geodesic Witten diagram formalism of Hijano et al.
Ethan Dyer +2 more
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Observers seeing gravitational Hilbert spaces: abstract sources for an abstract path integral
The gravitational path integral suggests a striking result: the Hilbert space of closed universes in each superselection sector, a so-called α-sector, is one-dimensional.
Hong Zhe Vincent Chen
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Stochastic Tunneling in de Sitter Spacetime
Tunneling processes in de Sitter spacetime are studied by using the stochastic approach. We evaluate the Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional integral by using the saddle-point approximation to obtain the tunneling rate.
Taiga Miyachi, Jiro Soda, Junsei Tokuda
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RADON DENSITY PROFILES IN ALVEOLAR PORES: AN INTEGRAL EQUATION FORMALISM APPLICATION
In this work, we obtained density profiles of Radon particles near the alveolar wall surface by the development of a theoretical model that describes the interaction between such particles and the alveolar wall cells.
J. Mulia Rodriguez +2 more
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Surfaceology for colored Yukawa theory
Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data.
Shounak De +4 more
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T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions
In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T T ¯ $$ \overline{T} $$ deformation on a torus in terms of the perturbative QFT approach.
Song He, Yuan Sun, Yu-Xuan Zhang
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Quantization of Free Scalar Fields in the Presence of Natural Cutoffs
We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra x^,p^=iħ1-βp+2β2p2, that admits the existence of both a minimal measurable length and a maximal momentum, where β is a deformation parameter.
K. Nozari, F. Moafi, F. Rezaee Balef
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Limits of the formal integrals of motion
Abstract We consider a formal (approximate) integral of motion in Hamiltonians of the form H = 1 2
G Contopoulos, A C Tzemos, F Zanias
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