LEADER 04284nam 22006855 450 001 996466678403316 005 20211022172448.0 010 $a3-642-00139-4 024 7 $a10.1007/978-3-642-00139-0 035 $a(CKB)1000000000746599 035 $a(SSID)ssj0000320158 035 $a(PQKBManifestationID)11235202 035 $a(PQKBTitleCode)TC0000320158 035 $a(PQKBWorkID)10343848 035 $a(PQKB)10174181 035 $a(DE-He213)978-3-642-00139-0 035 $a(MiAaPQ)EBC3064101 035 $a(PPN)134130871 035 $a(EXLCZ)991000000000746599 100 $a20100301d2009 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpectral Methods in Quantum Field Theory$b[electronic resource] /$fby Noah Graham, Markus Quandt, Herbert Weigel 205 $a1st ed. 2009. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009. 215 $a1 online resource (XI, 182 p. 30 illus.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v777 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-00138-6 320 $aIncludes bibliographical references and index. 327 $aReview of Scattering Theory -- Quantum Field Theory and the Spectral Method -- Applications in One Space Dimension -- Spectral Analysis of Charges -- Hedgehog Configurations in = 3+1 -- Boundary Conditions and Casimir Forces -- String-Type Configurations -- Quantum Corrections to -Balls. 330 $aThis concise text introduces techniques from quantum mechanics, especially scattering theory, to compute the effects of an external background on a quantum field in general, and on the properties of the quantum vacuum in particular. This approach can be successfully used in an increasingly large number of situations, ranging from the study of solitons in field theory and cosmology to the determination of Casimir forces in nano-technology. The method introduced and applied in this book is shown to give an unambiguous connection to perturbation theory, implementing standard renormalization conditions even for non-perturbative backgrounds. It both gives new theoretical insights, for example illuminating longstanding questions regarding Casimir stresses, and also provides an efficient analytic and numerical tool well suited to practical calculations. Last but not least, it elucidates in a concrete context many of the subtleties of quantum field theory, such as divergences, regularization and renormalization, by connecting them to more familiar results in quantum mechanics. While addressed primarily at young researchers entering the field and nonspecialist researchers with backgrounds in theoretical and mathematical physics, introductory chapters on the theoretical aspects of the method make the book self-contained and thus suitable for advanced graduate students. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v777 606 $aElementary particles (Physics) 606 $aQuantum field theory 606 $aQuantum physics 606 $aPhysics 606 $aElementary Particles, Quantum Field Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P23029 606 $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aElementary particles (Physics). 615 0$aQuantum field theory. 615 0$aQuantum physics. 615 0$aPhysics. 615 14$aElementary Particles, Quantum Field Theory. 615 24$aQuantum Physics. 615 24$aNumerical and Computational Physics, Simulation. 676 $a530.143 686 $aUD 8220$2rvk 686 $aUO 4000$2rvk 700 $aGraham$b Noah$4aut$4http://id.loc.gov/vocabulary/relators/aut$0508845 702 $aQuandt$b Markus$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aWeigel$b Herbert$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996466678403316 996 $aSpectral Methods in Quantum Field Theory$92518143 997 $aUNISA