The Yang-Mills theory lies at the heart of our understanding of elementary particle interactions. For the strong nuclear forces, we must understand this theory in the strong coupling regime. The primary technique for this is the lattice. While basically an ultraviolet regulator, the lattice avoids the use of a perturbative expansion. I discuss some of the historical circumstances that drove us ...

W hat determines the struc­ ture of space and time in the universe? According to Ein­ stein's general theory of relativity, the geometric properties of space are related to the density of energy (and momentum) in the universe. To un­ derstand the structure of spacetime, therefore, we must identify potential­ ly relevant sources of energy and evaluate their contributions to the to­ tal energy (a...

The computation of the correction ∆r in the W-Z mass correlation, derived from muon decay, is described at the two-loop level in the Standard Model. Technical aspects which become relevant at this level are studied, e.g. gauge-parameter independent mass renormalization, ghost-sector renormalization and the treatment of γ5. Exact results for ∆r and the W mass prediction including O(α2) correctio...

Recently, Gu, Lai and Liang proved necessary and sufficient conditions for a given sequence of positive integers d1, d2, . . . , dn to be the degree sequence of a line– Hamiltonian multigraph. Our goal in this note is to utilize this result to prove a closed formula for the function dlh(2m), the number of degree sequences with degree sum 2m representable by line–Hamiltonian multigraphs. Indeed,...

We study particle states of quantum Hall ferromagnet from the viewpoint of the incompressible fluid description. It is shown that phase space of Chern-Simons matrix theory which is an effective theory for the incompressible fluid is equivalent to moduli space of vortex theory. According to this correspondence, elementary excitations in vortex theory are identified as particle states in quantum ...

The interaction of UHE neutrinos can be observed from outer space. The advantage of the proposed method is that the Earth can be used as an energy filter as well as a target. We sketch the potentials of these observations in searching for particle physics beyond the Standard Model of elementary particle interactions as well as observations of astronomical objects such as active galactic nuclei.

These lectures deal with the complex structure of the ground state, or vacuum, of Quantum Chromo Dynamics (QCD) and its low-energy excitations, the hadrons. QCD, the theory of quarks, gluons and their interactions, is a self-contained part of the Standard Model of elementary particles. It is a consistent quantum field theory with a simple and elegant underlying Lagrangian, based entirely on the...

Einstein’s dream of describing elementary particles as solutions of a classical field theory is severely limited by our current understanding of Nature. Quantum theory is inconsistent with any local realistic theory such as evolving topological structures in space. It is shown that allowing time reversal as an intrinsic part of the structure of elementary particles allows general relativity to ...

Various theories of spinning particles are interpreted as realizing elements of an underlying geometric theory. Classical particles are described by trajectories on the Poincaré group. Upon quantization an eleven-dimensional Kaluza-Klein type theory is obtained which incorporates spin and isospin in a local SL(2, C) × U(1) × SU(2) theory with broken U(1)× SU(2) part. The theories that describe ...

String theory avoids the ultraviolet infinities that arise in trying to quantize gravity. It is also more predictive than conventional quantum field theory, one aspect of this being the way that it contributed to the emergence of the concept of “supersymmetry” of particle interactions. There are hints from the successes of supersymmetric unified theories of particle interactions that supersymme...