03746nam 22007335 450 991103486050332120251013130440.03-031-98123-510.1007/978-3-031-98123-4(MiAaPQ)EBC32345900(Au-PeEL)EBL32345900(CKB)41640981500041(DE-He213)978-3-031-98123-4(EXLCZ)994164098150004120251013d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierUnifying Classical and Quantum Physics How classical and quantum physics can pass smoothly back and forth /by Riccardo Fantoni1st ed. 2025.Cham :Springer Nature Switzerland :Imprint: Springer,2025.1 online resource (219 pages)Physics and Astronomy Series3-031-98122-7 Introduction -- Triviality of four dimensional ϕ 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.This 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.Physics and Astronomy SeriesMathematical physicsParticles (Nuclear physics)Quantum field theoryMechanicsQuantum theoryPhysicsAstronomyMathematical Methods in PhysicsElementary Particles, Quantum Field TheoryClassical MechanicsFundamental concepts and interpretations of QMQuantum PhysicsPhysics and AstronomyMathematical physics.Particles (Nuclear physics)Quantum field theory.Mechanics.Quantum theory.Physics.Astronomy.Mathematical Methods in Physics.Elementary Particles, Quantum Field Theory.Classical Mechanics.Fundamental concepts and interpretations of QM.Quantum Physics.Physics and Astronomy.530.15Fantoni Riccardo1424720MiAaPQMiAaPQMiAaPQBOOK9911034860503321Unifying Classical and Quantum Physics4448652UNINA