LEADER 03746nam 22007335 450 001 9911034860503321 005 20251013130440.0 010 $a3-031-98123-5 024 7 $a10.1007/978-3-031-98123-4 035 $a(MiAaPQ)EBC32345900 035 $a(Au-PeEL)EBL32345900 035 $a(CKB)41640981500041 035 $a(DE-He213)978-3-031-98123-4 035 $a(EXLCZ)9941640981500041 100 $a20251013d2025 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUnifying Classical and Quantum Physics $eHow classical and quantum physics can pass smoothly back and forth /$fby Riccardo Fantoni 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (219 pages) 225 1 $aPhysics and Astronomy Series 311 08$a3-031-98122-7 327 $aIntroduction -- Triviality of four dimensional ? 4 theory on the lattice -- The Higgs boson -- Initial singularity problem -- Quantization procedures -- Real scalar field theory -- Path integral Monte Carlo -- Complex scalar field theory -- Conclusions. 330 $aThis book presents a comprehensive exploration of affine quantization and its implications for quantum mechanics, quantum field theory, and even quantum gravity. Canonical quantization has been a cornerstone of quantum mechanics, but it struggles with certain fundamental problems, such as the quantization of a particle in a box. A new approach, affine quantization, offers a more robust framework, addressing challenges that canonical methods cannot resolve. Drawing on the results of our collaboration, we develop a self-contained and rigorous exposition, complete with detailed proofs. Our goal is to provide a valuable reference for graduate students, mathematicians, and physicists seeking deeper insights into unresolved issues of the Standard Model?particularly the Higgs sector?and quantum gravity. From the triviality problem in scalar field theories to the role of quantization in addressing singularities, this book connects fundamental mathematical concepts with pressing questions in modern physics. By presenting both theoretical developments and numerical results, we offer readers a structured approach to exploring novel quantization methods and their impact on contemporary physics. 410 0$aPhysics and Astronomy Series 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aMechanics 606 $aQuantum theory 606 $aPhysics 606 $aAstronomy 606 $aMathematical Methods in Physics 606 $aElementary Particles, Quantum Field Theory 606 $aClassical Mechanics 606 $aFundamental concepts and interpretations of QM 606 $aQuantum Physics 606 $aPhysics and Astronomy 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aMechanics. 615 0$aQuantum theory. 615 0$aPhysics. 615 0$aAstronomy. 615 14$aMathematical Methods in Physics. 615 24$aElementary Particles, Quantum Field Theory. 615 24$aClassical Mechanics. 615 24$aFundamental concepts and interpretations of QM. 615 24$aQuantum Physics. 615 24$aPhysics and Astronomy. 676 $a530.15 700 $aFantoni$b Riccardo$01424720 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911034860503321 996 $aUnifying Classical and Quantum Physics$94448652 997 $aUNINA