LEADER 03521nam 2200625Ia 450 001 9910146417203321 005 20200520144314.0 010 $a9783642001390 010 $a3642001394 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 $a20090518d2009 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSpectral methods in quantum field theory /$fN. Graham, M. Quandt, H. Weigel 205 $a1st ed. 2009. 210 $aDordrecht ;$aNew York $cSpringer$dc2009 215 $a1 online resource (XI, 182 p. 30 illus.) 225 1 $aLecture notes in physics,$x0075-8450 ;$v777 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642001383 311 08$a3642001386 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 ;$v777. 606 $aQuantum field theory 606 $aSpectral theory (Mathematics) 615 0$aQuantum field theory. 615 0$aSpectral theory (Mathematics) 676 $a530.143 686 $aUD 8220$2rvk 686 $aUO 4000$2rvk 700 $aGraham$b N$0349836 701 $aQuandt$b M$0508846 701 $aWeigel$b H$01257772 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146417203321 996 $aSpectral methods in quantum field theory$94193555 997 $aUNINA