... of that theory. In this regard, not least, it represents an advance upon ESR and object-oriented realism, but the question naturally arises whether OSR can be extended to quantum field theory (QFT). One might expect a straightforward and positive answer, given Redhead’s early advocacy of a structural realist...

... statistical mechanics and quantum field theory is given. high temperature series expansions Ising model spherical model n vector model differential approximates Disraeli Benjamin v dlog Padé approximants Padé approximants first order approximants second order approximants ratio method biased...

... inequivalent representations of the physics ensue. Finally, the Stone-von Neumann and Jordan-Wigner theorems presuppose finitely many degrees of freedom. They therefore fail to apply to quantum field theories (because a field, assigning a value to each point of space[time] has infinitely many degrees...

... in the Universe is an excitation of a matter field. This statement is the basis of quantum field theory (QFT), which describes the properties of matter fields on a quantum level. It does this by taking a classical description of the matter fields and quantizing it. That is, it turns the fields into quantum...

... metaphysics and relativistic quantum field theory. The theories of time – eternalism, presentism and the growing block theory – are discussed in connection with three and four dimensional views of reality. becoming Broad C D Einstein Albert events future light cone M theory multiverse hypothesis...

...The Physical World. Nicholas Manton and Nicholas Mee, Oxford University Press (2017). © Nicholas Manton and Nicholas Mee. DOI 10.1093/oso/9780198795933.001.0001 This chapter offers a brief introduction to quantum field theory and an outline of modern particle physics...

...From Random Walks to Random Matrices. Jean Zinn-Justin, Oxford University Press (2019). © Jean Zinn-Justin. DOI 10.1093/oso/9780198787754.001.0001 Chapter 6 describes how the perturbative renormalization group (RG) of quantum field theory has made it possible to derive universal...

... of quantum field theory (QFT) to study the critical phenomena. It presents both the canonical quantization and the path integral formulation of the field theories as well as the analysis of the perturbation theory. The chapter also covers transfer matrix formalism and the Euclidean aspects of QFT, the field...

... and quantum field theory on the other side is based on the analogy between thermal and quantum fluctuations. Formally, the connection is expressed through the mathematical equivalence between the partition function in statistical mechanics and the propagator in quantum field theory. This chapter explores...

... mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation...

... the field by treating the field as an operator. Jordan (with others) showed how the same technique could be applied to Bosons and then Fermions. This established the roots of quantum field theory. It also cleared up some of the interpretational issues of the time. Dirac Jordan transformation theory...

...This chapter explains the idea of a loop representation of a quantum field theory. Loop representations are important because they offer the prospect of a ‘gauge-free’ formulation of a gauge theory. In such a formulation, the theory's representations do not admit gauge transformations for gauge...

...When quantum theory is applied to systems with an infinite number of degrees of freedom, wholly new interpretative issues arise. This is due to the fact that such theories have physically inequivalent instantiations. Here the interpretative issues of quantum field theory and of the quantum theory...

... independence causal sets effective theory group field theory string theory General motivation Planck scale neutron and atom interferometry quantum field theory in curved spacetime semiclassical Einstein equations gedanken experiments Quantum theory seems to be a universal theory of nature. More...

...This chapter introduces the basic principles from which relativistic quantum field theory can be constructed. Local relativistic quantum field theory is based on three basic principles which in combination lead to a powerful and elegant formalism, which appears to allow a remarkably accurate...

... particular attention to dynamics (time evolution) and symmetries. The chapter then turns to the reformulation of quantum dynamics as a sum over histories (the ‘path-integral’ approach) due to Feynman and Dirac, which has enormous conceptual and technical utility in quantum field theory. Finally, the chapter...

...In many of the standard texts on quantum field theory, the introduction of fields representing particles of low spin (zero, ½, or one — there is no direct phenomenological evidence for elementary particles of any higher spin) is a fairly ad hoc matter. Relativistic wave equations...

...This chapter shows that the combination of these three discrete operations — parity, time reversal, and charge conjugation — is an exact symmetry of any local relativistic quantum field theory, even when none of the individual operations represents an exact symmetry of the theory. This result...