12,471 Result(s)
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Chapter
Investigating the Quantum Properties of Nucleons from a Wave View
According to the , are excitation of the , which can be sub-divided into two types. The first type of includes , , other , and gauge ; they have no internal sub-component and can travel freely thro...
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Chapter
Renormalization Group and DSEs in Non-kinematic Renormalization
The goal of the fourth chapter is to understand which features of renormalized Green functions and the renormalization group change if one uses non-kinematic renormalization conditions. In Sect. 4.1, we generaliz...
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Chapter
The Vacuum is a Dielectric Medium According to the Maxwell Theory; Its Basic Field is the Electric Vector Potential Z
We discovered that, according to the , the should behave like a . A was his introduction of the theory of light propagation required that the must behave like a . If the is an empty space, D must a...
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Chapter
Conclusion: Matter is Composed of Waves
This book presents a revolutionary idea: matter is made of ! In traditional physics, matter is thought to be made up of massive , each of which is like a “point mass”. In this book, we propose that sub-atomic ...
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Chapter
Conclusion
We have examined the high-order perturbative renormalization of quantum field theory. Besides an extensive review of known concepts, we have reached the following results
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Chapter
Derivation of the Dirac Equation from the Wave Equation of the Vacuum
In this chapter, we show that the can be derived naturally based on the . In fact, the is a direct consequence of the . Since the is a massive , according to our model, the should be a special case ...
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Chapter
Broken Spacetime Symmetry in Classical Matter
The most common type of a low-energy collective mode occurring in nature is a classical matter wave, usually manifested as sound. This features many of the attributes of Nambu–Goldstone bosons, notably a vanis...
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Chapter
Massive Photon Phenomenology in Stringy Photon Model
It is well known that in the string theory a particle is assumed to be an extended object [87, 88].
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Chapter
Introduction to Path Integral Methods
Path integrals were introduced by Feynman as an alternative formulation to the conventional hamiltonian approach used in quantum mechanics. The quantum many-body problem can also be formulated in an alternativ...
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Chapter
Introduction
This chapter introduces in layman’s terms the two central concepts of the book: effective field theory and spontaneous symmetry breaking. The purpose is to set up the basic framework for the book and to underl...
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Chapter
Introduction and Foundations
In this introductory chapter we review the foundations of perturbative, relativistic quantum field theory. We focus on space-time and internal symmetries that are a highly successful guiding principle in the c...
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Chapter
Diquark Color States, Schur’s Lemma and Casimir Charges
We present a systematic method, called the “tensor method”, to find the set of Hermitian projectors on the irreps of a parton system. Here it is explained in the simplest case of a quark pair, but it can be ap...
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Chapter
Some Open Questions
This last and very brief chapter highlights some open problems pertinent to the subject of the book. The main thrust of the book lies in the development of the effective field theory formalism for spontaneousl...
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Chapter
Generalizations of the Model
This chapter further develops the concepts introduced in the previous chapter at a level suitable for a reader without prior knowledge of spontaneous symmetry breaking. The material covered includes physical s...
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Chapter
Loop Integrands and Amplitudes
In this chapter we study the structure of loop-level scattering amplitudes. The appearance of integrals over internal loop momenta gives rise to a new set of functions that go beyond the rational functions of ...
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Chapter
Color States of a Gluon Pair
We first introduce the “star vertex” and derive new simple rules involving this vertex. Using the tensor method, we then derive the \(\textrm{SU}(N)\)
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Chapter
Spontaneous Symmetry Breaking
The roots of the modern understanding of symmetries in physics can be traced to the work of Sophus Lie on transformations of differential equations in the nineteenth century. In this chapter, the history of th...
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Chapter
Conclusion
This brief chapter gives some concluding remarks on the work of the thesis as a whole.
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Chapter
Solutions to the Exercises
he sigma-matrix four-vector is defined as ( ...
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Chapter
Irreps of qqq and \(q q \bar{q}\) States by Recursive Pairing
Finding the irreps of a three-parton system abc can be done by first decomposing the parton pair ab into a sum of irreps \((ab)_\alpha \) ...