Diquark Representations for Singly Heavy Baryons with Light Staggered Quarks

In the staggered fermion formulation of lattice QCD, we construct diquark operators which are to be embedded in singly heavy baryons. The group theoretical connections between continuum and lattice staggered diquark representations are established.Comment: v1, 13 pages with title "Staggered Diquarks for Singly Heavy Baryons"; v2, 4 pages in revtex, changed the title to be more specifi

Hedge Funds: Heading for a regulatory hard landing? ECMI Policy Brief No. 5, April 2007

This policy brief examines the evolution of the hedge fund industry, the industry’s structure and the prospect of regulatory steps looming on the horizon. In the wake of the recent bust of Amaranth and of the increased ‘retailisation’ of the industry, hedge funds have increasingly come under the close scrutiny of regulators. In this ECMI Policy Brief, Charles Gottlieb explores the economic rationale that should be kept in mind for any appropriate policy making in this area. He concludes by outlining the regulatory uncertainties remaining with binding the hedge fund industry together with MiFID and UCITS regulations

Lattice field theory applications in high energy physics

Lattice gauge theory was formulated by Kenneth Wilson in 1974. In the ensuing decades, improvements in actions, algorithms, and computers have enabled tremendous progress in QCD, to the point where lattice calculations can yield sub-percent level precision for some quantities. Beyond QCD, lattice methods are being used to explore possible beyond the standard model (BSM) theories of dynamical symmetry breaking and supersymmetry. We survey progress in extracting information about the parameters of the standard model by confronting lattice calculations with experimental results and searching for evidence of BSM effects.Comment: 8 pages, 5 figures, to appear in the Proceedings of the XXVII IUPAP Conference on Computational Physics (CCP2015), Indian Institute of Technology Guwahati, Assam, India, published in Journal of Physics: Conference Series (JPCS), published by IO

On ambitious higher-order theories of consciousness

ABSTRACTAmbitious Higher-order theories of consciousness – Higher-order theories that purport to give an account of phenomenal consciousness – face a well-known objection from the possibility of ra..

Introduction to determinantal point processes from a quantum probability viewpoint

Determinantal point processes on a measure space X whose kernels represent trace class Hermitian operators on L^2(X) are associated to "quasifree" density operators on the Fock space over L^2(X).Comment: Contributed to the proceedings of the 26th Conference on Quantum Probability and Infinite Dimensional Analysi

Reevaluating the Computer Fraud and Abuse Act: Amending the Statute to Explicitly Address the Cloud

Under the current interpretations of authorization, instances where an individual harmlessly accesses the cloud data of another user could be classified as hacking and a violation of this federal statute. As such, this Note demonstrates that all of the current interpretations of the CFAA are too broad because they could result in this nonsensical outcome. This Note accordingly proposes an amendment to the CFAA specifically addressing user access to data on the cloud. Such an amendment would eliminate the unusual result of innocuous cloud-computing users being deemed hackers under federal law

Eigenbundles, Quaternions, and Berry's Phase

Given a parameterized space of square matrices, the associated set of eigenvectors forms some kind of a structure over the parameter space. When is that structure a vector bundle? When is there a vector field of eigenvectors? We answer those questions in terms of three obstructions, using a Homotopy Theory approach. We illustrate our obstructions with five examples. One of those examples gives rise to a 4 by 4 matrix representation of the Complex Quaternions. This representation shows the relationship of the Biquaternions with low dimensional Lie groups and algebras, Electro-magnetism, and Relativity Theory. The eigenstructure of this representation is very interesting, and our choice of notation produces important mathematical expressions found in those fields and in Quantum Mechanics. In particular, we show that the Doppler shift factor is analogous to Berry's Phase.Comment: 22 pages, also found on http://math.purdue.edu/~gottlie