From Special Relativity to Feynman Diagrams
A Course in Theoretical Particle Physics for Beginners
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Open AccessHidden gauge structure of supersymmetric free differential algebras
The aim of this paper is to clarify the role of the nilpotent fermionic generator Q ′ introduced in [6] and appearing in the hidden supergroup underlying the free differential alge...
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Chapter
Relativistic Wave Equations
In the previous chapter we have recalled the basic notions of non-relativistic quantum mechanics. We have seen that, in the Schroedinger representation, the physical state of a free particle of mass m is describe...
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Chapter
The Poincaré Group
In this chapter, after briefly reviewing the notions of linear vector spaces, inner product of vectors and metric in (three-dimensional) Euclidean space, we shall focus on coordinate transformations, namely ma...
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Chapter
Fields in Interaction
So far we have restricted our analysis to free bosonic and fermionic fields. In this case we were able to canonically quantize them, by associating with the fields and their conjugate momenta operators acting ...
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Chapter
Quantization of the Electromagnetic Field
In this section we shall analyze the general solution \(A_\mu (x)\) ...
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Chapter
Lagrangian and Hamiltonian Formalism
In this chapter we give a short account of the Lagrangian and Hamiltonian formulation of classical non-relativistic and relativistic theories. For pedagogical reasons we first address the case of systems of pa...
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Chapter
Special Relativity
The aim of physics is to describe the laws underlying physical phenomena.
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Chapter
The Equivalence Principle
In this section we discuss the shall see that, besides allowing the extension of the principle of relativity to a generic, not necessarily inertial, frame of reference, it allows to define gravity, in a relativ...
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Chapter
Quantization of Boson and Fermion Fields
In the previous chapter we have examined the relativistic wave equations for spin 0 and spin 1/2 particles. The corresponding fields \(\phi (x)\) ...
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Chapter
Maxwell Equations and Special Relativity
As we have already noted in Chap. 1, Maxwell’s electromagnetic theory is by definition a relativistic theory, since it implies in particular the constancy of the speed o...
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Chapter
Group Representations and Lie Algebras
As already mentioned in Chap. 4 several properties of the rotation group.
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Chapter
Quantum Mechanics Formalism
In this chapter we give a concise review of the quantum mechanics formalism from a perspective which generalizes the ordinary Schroedinger formulation. In this way we may reconsider the Schroedinger approach t...
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Chapter
Relativistic Dynamics
In the previous chapter we have seen that a proper extension of the principle of relativity to electromagnetism necessarily implies that the correct transformation laws between two inertial frames are the Lore...
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Article
Open AccessObservations on BI from \( \mathcal{N}=2 \) supergravity and the general Ward identity
The multi-vector generalization of a rigid, partially-broken N = ...
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Article
Open AccessN=1 and N=2 pure supergravities on a manifold with boundary
Working in the geometric approach, we construct the lagrangians of N = 1 and N = 2 pure supergravity in four dimensions with negative cosmological constant, in the presence of a non trivial boundary of space-time...
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Extremal limits of rotating black holes
We consider non-extremal, stationary, axion-dilaton solutions to ungauged symmetric supergravity models, obtained by Harrison transformations of the non-extremal Kerr solution. We define a general algebraic pr...
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Chapter and Conference Paper
On the Classification of Two Center Orbits for Magical Black Holes
We report on recent work [4] concerning the determination of the two-centered generic charge orbits of magical \(\mathcal{N} = 2\) and ...
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Article
Rotating black holes, global symmetry and first order formalism
In this paper we consider axisymmetric black holes in supergravity and address the general issue of defining a first order description for them. The natural setting where to formulate the problem is the De Don...
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