LEADER 03486nam 2200553Ia 450 001 9910133761003321 005 20200520144314.0 010 $a3-642-29405-7 024 7 $a10.1007/978-3-642-29405-1 035 $a(CKB)3360000000369959 035 $a(SSID)ssj0000697631 035 $a(PQKBManifestationID)11386085 035 $a(PQKBTitleCode)TC0000697631 035 $a(PQKBWorkID)10708920 035 $a(PQKB)10235218 035 $a(DE-He213)978-3-642-29405-1 035 $a(MiAaPQ)EBC3070575 035 $a(PPN)168314495 035 $a(EXLCZ)993360000000369959 100 $a20120618d2012 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTen physical applications of spectral zeta functions /$fEmilio Elizalde 205 $a2nd ed. 210 $aHeidelberg ;$aNew York $cSpringer$d2012 215 $a1 online resource (XIV, 227 p. 14 illus.) 225 1 $aLecture notes in physics,$x0075-8450 ;$vv. 855 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-29404-9 320 $aIncludes bibliographical references (p. 215-223) and index. 327 $aIntroduction and Outlook -- Mathematical Formulas Involving the Different Zeta Functions -- A Treatment of the Non-Polynomial Contributions: Application to Calculate Partition Functions of Strings and Membranes -- Analytical and Numerical Study of Inhomogeneous Epstein and Epstein-Hurwitz Zeta Functions -- Physical Application: the Casimir Effect -- Five Physical Applications of The Inhomogeneous Generalized Epstein-Hurwitz Zeta Functions -- Miscellaneous Applications Combing Zeta With Other Regularization Procedures -- Applications to Gravity, Strings and P-Branes -- Eleventh Application: Topological Symmetry Breaking in Self-Interacting Theories -- Twelfth Application: Cosmology and The Quantum-Vacuum -- References -- Index. 330 $aZeta-function regularization is a powerful method in perturbation theory. This book is meant as a guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice (e.g. Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, noncommutative spacetime). The formulas some of which are new can be used for physically meaningful, accurate numerical calculations.  The book is to be considered as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice.   This thoroughly revised, updated and expanded edition includes in particular new explicit formulas on the general quadratic, Chowla-Selberg series case, an interplay with the Hadamard calculus, and features a new chapter on recent cosmological applications including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models. 410 0$aLecture notes in physics ;$v855. 606 $aFunctions, Zeta 606 $aMathematical physics 615 0$aFunctions, Zeta. 615 0$aMathematical physics. 676 $a530.1/5556 700 $aElizalde$b E$0754417 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910133761003321 996 $aTen physical applications of spectral zeta functions$91517996 997 $aUNINA