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020 _a9783540472179
_9978-3-540-47217-9
024 7 _a10.1007/978-3-540-47217-9
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aNamiki, Mikio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aStochastic Quantization
_h[electronic resource] /
_cby Mikio Namiki.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aX, 217 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v9
505 0 _aBackground Ideas -- Elements of the Theory of Stochastic Processes -- General Prescription of Stochastic Quantization -- Perturbative Approach to Scalar Field Theory -- Perturbative Approach to Gauge Fields -- Stochastic Quantization of Constrained Systems -- Superfield Formulation -- Renormalization Scheme in Stochastic Quantization -- New Regularizations in Stochastic Quantization -- Generalized Langevin Equation and Anomaly -- Application to Numerical Simulations -- Minkowski Stochastic Quantization and Complex Langevin Equation.
520 _aThis is a textbook on stochastic quantization which was originally proposed by G. Parisi and Y. S. Wu in 1981 and then developed by many workers. I assume that the reader has finished a standard course in quantum field theory. The Parisi-Wu stochastic quantization method gives quantum mechanics as the thermal-equilibrium limit of a hypothetical stochastic process with respect to some fictitious time other than ordinary time. We can consider this to be a third method of quantization; remarkably different from the conventional theories, i. e, the canonical and path-integral ones. Over the past ten years, we have seen the technical merits of this method in quantizing gauge fields and in performing large numerical simulations, which have never been obtained by the other methods. I believe that the stochastic quantization method has the potential to extend the territory of quantum mechanics and of quantum field theory. However, I should remark that stochastic quantization is still under development through many mathematical improvements and physical applications, and also that the fictitious time of the theory is only a mathematical tool, for which we do not yet know its origin in the physical background. For these reasons, in this book, I attempt to describe its theoretical formulation in detail as well as practical achievements.
650 0 _aQuantum theory.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aQuantum Information Technology, Spintronics.
_0http://scigraph.springernature.com/things/product-market-codes/P31070
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662138809
776 0 8 _iPrinted edition:
_z9783662138793
776 0 8 _iPrinted edition:
_z9783540555636
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v9
856 4 0 _uhttps://doi.org/10.1007/978-3-540-47217-9
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