Page
%P
-
Chapter
Non Local Observables and Confinement in BF Formulation of Yang-Mills Theory
The vev’s of the magnetic order-disorder operators in QCD are found with an explicit calculation using the first order formulation of Yang-Mills theory.
-
Article
Stringy instanton corrections to \( \mathcal{N} = 2 \) gauge couplings
We discuss a string model where a conformal four-dimensional \( \mathcal{N} = 2 \) gauge theory receives corrections to...
-
Article
Stückelino dark matter in anomalous U(1)′ models
We study a possible dark matter candidate in the framework of a minimal anomalous U(1)′ extension of the MSSM. It turns out that in a suitable decoupling limit the Stückelino, the fermionic degree of freedom of t...
-
Book
-
Chapter
Kinetic Physics
Determine the number of particle-wall collisions per unit area for an ideal quantum gas composed of N independent particles inside a cubic container of volume V. Treat the general case with a single particle ener...
-
Chapter
Fermi-Dirac Gases
An atomic nucleus of Helium consists of a gas of 0.18 nucleons in a volume of 1 fm3 (1fm = 10−13cm). In this system, we can find two kinds of nucleons (protons And neutrons) with spin S=1/2 and their masses, m ...
-
Chapter
Central Force Field
Let us consider a particle subject to the following three dimensional harmonic potential $$U\left( r \right) = \frac{{M{\omega ^2}{r^2...
-
Chapter
Grand Canonical Ensemble
A gas is in contact with a surface. On the surface we find N 0 localized and distinguishable sites adsorbing N (N≤N 0) molecules of the gas (each site can adsorb zero or one molecu...
-
Chapter
Bose-Einstein Gases
Consider a three dimensional gas of bosons with spin 0 and single particle energy given by $$\varepsilon = \frac{{{p^2}}}{{2m}}$$ ...
-
Chapter
Angular Momentum and Spin
Determine the uncertainty relations between the orbital angular momentum $$\hat L = \left( {{{\hat L}_x},{{\hat L}_y},{{\hat L}_z}} \r...
-
Chapter
Perturbation Theory and WKB Method
A plane rigid rotator has the following Hamiltonian $${\hat H_0} = \frac{{\hat L_z^2}}{{2I}}$$ where I is the momentu...
-
Chapter
Canonical Ensemble
A classical gas in a volume V is composed of N independent and indistinguishable particles. The single particle Hamiltonian is $$H = \...
-
Chapter
Formalism of Quantum Mechanics and One Dimensional Problems
Let Â=† be an observable operator with a complete set of eigenstates |ϕ n 〉 with eigenvalues α n (n=0, 1, 2,...). A generic state is given by
-
Chapter
Thermodynamics and Microcanonical Ensemble
We know that the free energy F(T,V,N) of a thermodynamic system is extensive. Show that $$N{\left( {\frac{{\partial F}}{{\partial N}}}...
-
Chapter
Fluctuations and Complements
Characterize the fluctuations of the energy in the grand canonical ensemble and prove that $$\left\langle {{{\left( {\Delta E} \right)...
-
Chapter
Summary of Quantum and Statistical Mechanics
In Quantum Mechanics, the state of a particle in one dimension and in presence of a potential U(x,t), is entirely described by a complex wave function ψ(x,t) obeying the time dependent Schrödinger equation ...
-
Article
Deformed Seiberg-Witten curves for ADE quivers
We derive Seiberg-Witten like equations encoding the dynamics of \( \mathcal{N}=2 \) ADE quiver gauge theories in presence of a non-trivial Ω-background along a two dimensional p...
-
Article
U-folds as K3 fibrations
We study \( \mathcal{N}=2 \) four-dimensional flux vacua describing intrinsic non- perturbative systems of 3 and 7 bran...
-
Article
Exact results in \( \mathcal{N}=2 \) gauge theories
We derive exact formulae for the partition function and the expectation values of Wilson/’t Hooft loops, thus directly checking their S-duality transformations. We focus on a special class of
-
Article
Open AccessStrings in bubbling geometries and dual Wilson loop correlators
We consider a fundamental string in a bubbling geometry of arbitrary genus dual to a half-supersymmetric Wilson loop in a general large representation R of the SU(N) gauge group in
