We study nonhomogeneous quantum quenches in a one-dimensional gas of repulsive spin-$1/2$ fermions, as described by the integrable Yang-Gaudin model. By means generalized hydrodynamics (GHD), we analyze detail real-time evolution following sudden change confining potential. consider particular release protocols and trap quenches, including version Newton's cradle. At zero temperature, employ si...

A detailed exact-diagonalization study is made for the doping dependence of the single-particle spectral function A(k, ω) and momentum distribution function n(k) of the two-dimensional t−J model as a representative model for doped Mott insulators. The results for A(k, ω) show unambiguously that the rigid-band behavior is realized in the small-cluster t−J model: upon doping, the uppermost states...

Spacetime is modelled by binary relations by the classes of the automorphisms GL( I C) of a complex 2-dimensional vector space with respect to the definite unitary subgroup U(2). In extension of Feynman propagators for particle quantum fields representing only the tangent spacetime structure, global spacetime representations are given, formulated as residues using energy-momentum distributions ...

How massive elementary particles get their mass is one of the greatest open questions in physics. Two of the major goals of the current LEP2 physics program that help to address this question are (a) to measure as precisely as possible the W Boson mass m W and (b) to exclude or discover the Higgs Boson within the available kinematic region. The reconstruction of invariant masses with jets from ...

To embed the seesaw mechanism in the MSSM, two or three right-handed neutrino supermultiplets, Ni, have to be added to the model. In this framework, the supersymmetry breaking potential will include a new term called neutrino B-term: MBνÑÑ/2. In this talk, we present a toy model that generates a large neutrino B-term keeping other supersymmetry breaking parameters small. We then review the cons...

Let (H,B) be an abstract Wiener space and let μs be the Gaussian measure on B with variance s. Let ∆ be the Laplacian (not the number operator), that is, a sum of squares of derivatives associated to an orthonormal basis of H. I will show that the heat operator exp(t∆/2) is a contraction operator from L2(B,μs) to L2(B,μs−t), for all t < s. More generally, the heat operator is a contraction from...

The first motivation1 for yq collisions was indeed the study of C = +l resonances. After the pioneer works listed in Ref. 1, one can trace back from the four preceeding 7~ workshops2-5 and other high energy physics conference8 how the subject developed since this time. The theoretical concern progressively evolved from kinematical considerations (properties of the eSe+ e+e-X processes) to dynam...

We consider the one-dimensional half-filled Hubbard model. We show that the excitation spectrum is given by the scattering states of four elementary excitations, which form the fundamental representation of SU(2)×SU(2). We determine the exact two-particle Scattering matrix, which a solution of the Yang-Baxter equation and reflects the SO(4) symmetry of the model. The results for repulsive and a...

Using Watson’s and the recursive equations satisfied by matrix elements of local operators in two-dimensional integrable models, we compute the form factors of the elementary field φ(x) and the stress-energy tensor Tμν(x) of Sinh-Gordon theory. Form factors of operators with higher spin or with different asymptotic behaviour can easily be deduced from them. The value of the correlation function...

Similar to the electron, the muon is an elementary particle classified as a lepton with a negative charge and half-spin. Naturally-occurring muons are created due to cosmic rays and travel at relativistic speeds and thus feel the effects of time dilation. Due to this the lifetime of the muon is heavily dependent on the speed at which it is moving. We will discuss the lifetime and decay of the m...