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In differential geometry and mathematical physics (especially string theory), the Polyakov formula expresses the conformal variation of the zeta functional determinant of a Riemannian manifold. Proposed by Alexander Markovich Polyakov this formula arose in the study of the quantum theory of strings. The corresponding density is local, and therefore is a Riemannian curvature invariant. In particular, whereas the functional determinant itself is prohibitively difficult to work with in general, its conformal variation can be written down explicitly.
geometry and mathematical physics (especially string theory), the Polyakovformula expresses the conformal variation of the zeta functional determinant...
Alexander Markovich Polyakov (Russian: Алекса́ндр Ма́ркович Поляко́в; born 27 September 1945) is a Russian theoretical physicist, formerly at the Landau...
problems for the functional determinant of the Laplacian (via the Polyakovformula; see Branson & Ørsted 1991). In dimension four only, the Paneitz operator...
In quantum field theory, the Polyakov loop is the thermal analogue of the Wilson loop, acting as an order parameter for confinement in pure gauge theories...
quantum field theory, the Lehmann–Symanzik–Zimmermann (LSZ) reduction formula is a method to calculate S-matrix elements (the scattering amplitudes)...
This formula has been used in string theory for the one-loop computation in Polyakov's perturbative approach. The second Kronecker limit formula states...
symmetry in conformal field theory. It is, for example, a symmetry of the Polyakov action. When quantum mechanical effects break the conformal invariance...
linear dilaton background requires it to take an exponential solution. The Polyakov action in this background is then identical to Liouville field theory,...
1016/0393-0440(94)00012-S. S2CID 10921054. Alexander Belavin, Alexander Polyakov and Alexander Zamolodchikov (1984). "Infinite conformal symmetry in two-dimensional...
elaborated in articles by Steven Gubser, Igor Klebanov, and Alexander Markovich Polyakov, and by Edward Witten. By 2010, Maldacena's article had over 7000 citations...
Mueller, Dierk Schleicher. Fractional Sums and Euler-like Identities S. P. Polyakov. Indefinite summation of rational functions with additional minimization...
't Hooft–Polyakov monopoles play the role of instantons. In his 1977 paper Quark Confinement and Topology of Gauge Groups, Alexander Polyakov demonstrated...
EPR Paradox in quantum physics Alexander Polyakov, developed the concepts of Polyakov action, 't Hooft–Polyakov monopole and BPST instanton Isaak Pomeranchuk...
Laveykin, who flew in Soyuz TM-2 in 1987, with half a year in orbit; Valeri Polyakov, a medical doctor, who holds the record for the longest time in orbit of...
metal to form a six-membered chelate ring. The simplest complexes have the formula M(acac)3 and M(acac)2. Mixed-ligand complexes, e.g. VO(acac)2, are also...
Retrieved 5 March 2012. "2013 Fundamental Physics Prize Awarded to Alexander Polyakov". Fundamental Physics Prize. Archived from the original on 19 January 2015...
cooperation with the Italian car manufacturer Fiat. Viktor Nikolaevich Polyakov [ru] (later Minister of Automobile Industry) was named as director, and...
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