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Quantum Field Theory By Academician Prof. Kazuhiko Nishijima - A Classic in Theoretical Physics
This book is a translation of the 8th edition of Prof. Kazuhiko Nishijima’s classical textbook on quantum field theory. It is based on the lectures...
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An effective field theory for non-maximal quantum chaos
In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of...
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Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
We develop a novel framework for describing quantum fluctuations in field theory, with a focus on cosmological applications. Our method uniquely...
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Perturbative expansions and the foundations of quantum field theory
Perturbative expansions have played a peculiarly central role in quantum field theory, not only in extracting empirical predictions but also in...
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The Real Scalar Quantum Field Theory
In this chapter we will examine an example of a relativistic quantum field theory. It contains a single, real scalar field and it will have spacetime... -
Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
The spin supplementary conditions are constraints on spin degrees of freedom in classical relativity which restricts physical degrees of freedom to...
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Quantum Field Theory
We introduced Feynman integrals in chapter , building only on the knowledge of special relativity and graphs. We did not discuss how Feynman... -
An algebraic formula for two loop renormalization of scalar quantum field theory
We find a general formula for the two-loop renormalization counterterms of a scalar quantum field theory with interactions containing up to two...
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Quantum Field Theory on Causal Sets
We give a broad overview of a construction of a theory for matter on fixed causal set backgrounds. We introduce the Sorkin-Johnston formalism for a... -
New model category structures for algebraic quantum field theory
In this paper, we define and compare several new Quillen model structures which present the homotopy theory of algebraic quantum field theories. In...
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Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
In this paper, we compute the two observables, impulse and waveform, in a black hole scattering event for the Scalar-Tensor theory of gravity with a...
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Quantum field theory with ghost pairs
We explicitly show that general local higher-derivative theories with only complex conjugate ghosts and normal real particles are unitary at any...
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Purely virtual extension of quantum field theory for gauge invariant fields: quantum gravity
Quantum gravity is extended to include purely virtual “cloud sectors”, which allow us to define a complete set of point-dependent observables,...
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Rényi mutual information in quantum field theory, tensor networks, and gravity
We explore a large class of correlation measures called the α − z Rényi mutual informations (RMIs). Unlike the commonly used notion of RMI involving...
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Degenerate Perturbation Theory for Models of Quantum Field Theory with Symmetries
We consider Hamiltonians of models describing non-relativistic quantum mechanical matter coupled to a relativistic field of bosons. If the free...
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Quantum Theory of the Scalar Free Field
In this chapter we discuss a quantization of the classical relativistic scalar field. The scalar field as a relativistic wave function was proposed... -
Purely virtual extension of quantum field theory for gauge invariant fields: Yang–Mills theory
We extend quantum field theory by including purely virtual “cloud” sectors, to define physical off-shell correlation functions of gauge invariant...
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Classical double copy of spinning worldline quantum field theory
We study the classical double copy of massive spinning objects in the worldline quantum field theories (WQFT) formalism. We couple the
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Many Particle Physics as a Quantum Field Theory
In this chapter we will attempt to develop intuition aimed at answering the question “What is a quantum field theory?”. We will do this by studying a... -
Investigating the new perspectives of Caudrey–Dodd–Gibbon equation arising in quantum field theory
The main purpose of the paper is obtaining the analytical results for beta fractional Caudrey–Dodd–Gibbon equation which is used to resolve complex...