Introduction
Attention: Imperial
physicist's ground breaking work in 1960s recognised by journal,
Nobelist
Steven Weinberg Praises Professor Gerald Guralnik and Collaborators for Higgs Boson
Theory and Profs.
try to solve mysteries of universe; for more on this, read A Physics History of My part
in the Theory of Spontaneous Symmetry Breaking and Gauge particles with a mix
of modern ideas (PDF, 194Kb).
Welcome to the Computational High Energy Physics (CHEP) group page. We
pursue alternative, complementary approaches to numerical quantum field
theory to those methods based on Monte Carlo approximations of the
functional Feynman Path Integral.
Presently, our work is primarily focused on 2 novel numerical methods and
1 analytical line of research:

SourceGalerkin: consists of obtaining `best'
approximations, via methods of weighted residuals, to solutions of the
SchwingerDyson equations. In the course of this work, we have asked
many (and convincingly answered a few) questions concerning the basic
formulation of quantum field theories. (The code for some of these
computations can be found in this
link.)

Mollifier Technique: consists of smoothing out the
highly oscillatory terms in the [Minkowski] path integral, thus
rendering it possible to compute it via a proper Monte Carlo. As
before, many question have been (and are in the process of being)
asked [regarding the foundations of QFT] and some have found its
answers.

Symmetry Breaking and Topology Change: String Theory has
reached a problematic stage where its answers — the different vacua
that solve the theory — are the minimum of a potential landscape.
Given that, as of now, there are possibly a vast number of physically
allowed vacua, the phase structure of the theory is potentially very
rich. In order to study this phase structure and its spontaneous
symmetry breakings, we have developed a novel approach that lifts QFT to
a new geometrical stance. This, in turn, enables us to show that
different phases of the theory have topologically inequivalent
configuration spaces, which, for String Theory, gives birth to
topologically inequivalent Universes. In order to accomplish this, we
use a conformal transformation historically used by Jacobi with a
twofold purpose: unify Hamilton's (mechanics) and Fermat's (optics)
action principles into a single framework and turn every hamiltonian
flow into a geodesic one.
On this page, we provide descriptions and pointers of recent
publications, to member home pages, and to group facilities. Further
information about the CHEP group can be obtained by sending inquiries to
chepinfo [at] het [dot] brown [dot] edu.
General Information
Members
Currently, the following people are, or have been, affiliated with the CHEP
group, either in its core at Brown
University, or via collaborative efforts:
Publications & Talks
 arXiv &
SPIRES HEP:
 2006:

Daniel D. Ferrante, Gerald S. Guralnik;
Mollifying Quantum
Field Theory or Lattice QFT in Minkowski Spacetime and Symmetry
Breaking. Note that the version available from the arXivs has low
resolution figures; a [properly formatted] high resolution of this
work can be found in the following links: [
PDF (5.1Mb) 
PS (23Mb) ].

2º
CAINBRA (Conferência Anual Interdisciplinar dos Brasileiros na
Brown): Daniel D. Ferrante, "O que é massa: da Relatividade à
Mecânica Quântica".

Daniel D. Ferrante, Gerald S. Guralnik; From Symmetry Breaking to
Topology Change I. Note that the version available from the
arXivs does not have the internal PDF links properly set up (although their
PS version is fine); a better PDF file can be found in the following
link: [ PDF (527Kb) ].
 2005:
 1º
CAINBRA (Conferência Anual Interdisciplinar dos Brasileiros na
Brown): Daniel D. Ferrante, "Geometrizando a Mecânica Quântica",
[ PDF (396Kb) ].
 2004:
 Astrophysical Journal Club: Daniel D. Ferrante, "Loop Quantum
Cosmology", [ PDF
(207Kb)  HTML (14Kb) ];
 CHEP Research Review talk: Daniel D. Ferrant and Gerald S. Guralnik,
DoE '04, [ PDF
(3.6Mb)  PS (3.5Mb) ];
 Daniel D. Ferrante and Gerald S. Guralnik,
"Poster on the Recent CHEP Research": [ PS (329Kb)  PDF (259Kb) ].
 2003:
 Gerald S. Guralnik, A. Iorio, R. Jackiw and S. Y. Pi; Dimensionally Reduced
Gravitational ChernSimons Term and its Kink;
 Richard Easther, Daniel D. Ferrante, Gerald S. Guralnik and
Dmitri Petrov; A
Review Of Two Novel Numerical Methods in QFT;
 Daniel D. Ferrante, Generalized Bundle
Quantum Mechanics (invited contribution to "Progress in
Quantum Physics Research", to be published by Nova Science
Publishers, Inc., New York);
 Daniel D. Ferrante, Gerald S. Guralnik and Dmitri Petrov,
"Poster on the Recent CHEP Research": [ PS (1.6Mb)  PDF (541Kb)
].
 2002:
 Washington University [Physics Colloquium]: Gerald
S. Guralnik; "A Physics
History of My part in the Theory of Spontaneous Symmetry Breaking
and Gauge particles with a mix of modern ideas"; [ PDF (194Kb) ].
 Daniel D. Ferrante, Geometric Calculus and
the Fibre Bundle description of Quantum Mechanics;
 Cornell University [Applied Math Colloquium]: Gerald
S. Guralnik; "Computing to Learn
Physics while watching computers grow up"; [ PS (185Kb)  PDF
(190Kb) ];
 Lattice 2002: Daniel D. Ferrante, "Stationary Phase Monte
Carlo Methods"; [ PS
(1.4Mb)  PDF
(569Kb) ];
 Lattice 2002: Gerald S. Guralnik, "Alternative Numerical
Techniques"; [ PS
(152Kb)  PDF (152Kb) ];
 Lattice 2002: Dmitri Petrov, "A Test of The Source Galerkin
Method";
 UFC (Universidade Federal do Ceará, Brasil 
29Jul02/02Ago02): Daniel D. Ferrante, "Mollified Monte
Carlo (Parts I and II)"; [ PS
(2.9Mb)  PDF (1.1Mb) ];
 UFC (Universidade Federal do Ceará, Brasil 
29Jul02/02Ago02): Daniel D. Ferrante, "Branes: An Introduction
(Parts I and II)"; [ PS
(373Kb)  PDF (308Kb) ];
 Daniel D. Ferrante, J. D. Doll, D. Sabo, Gerald S. Guralnik;
Mollified Monte
Carlo;
 Gerald S. Guralnik, J. D. Doll, Richard Easther, Pinar
Emirdag, Daniel D. Ferrante, Stephen Hahn, Dmitri Petrov and
D. Sabo; Alternative Numerical
Techniques;
 Dmitri Petrov, Pinar Emirdag and Gerald S. Guralnik; A Test of The Source
Galerkin Method; &
 Astrophysical Journal Club: Daniel D. Ferrante, "The Effects of
Spacetime on YangMills Theories"; [ PS (268Kb)
 PDF (290Kb) ].
 2001:
 Pinar Emirdag, Richard Easther, Gerald S. Guralnik, Stephen
C. Hahn and Dmitri Petrov; Numerical Quantum
Field Theory on the Continuum and a New Look at Perturbation
Theory.
 2000:
 Dmitri Petrov, Richard Easther, Gerald Guralnik, Stephen Hahn,
WeiMun Wang;
Fermions, Gauge Theories, and the Sinc Function Representation for
Feynman Diagrams.
 1999:
 Pinar Emirdag, Richard Easther, Gerald S. Guralnik and Stephen
C. Hahn; New
Numerical Methods for Quantum Field Theories on the
Continuum;
 Richard Easther, Gerald S. Guralnik and Stephen C. Hahn; The Sinc Function
Representation and ThreeLoop Master Diagrams; &
 Richard Easther, Gerald S. Guralnik and Stephen C. Hahn; Fast Evaluation of
Feynman Diagrams.
 1998:
 Stephen C. Hahn and Gerald S. Guralnik, Numerical field
theory on the continuum; &
 Stephen C. Hahn and Gerald S. Guralnik, New numerical methods
for iterative or perturbative solution of quantum field
theory.
 1996:
 AUP Quantum Chromodynamics Workshop in Paris: Gerald
S. Guralnik, "Source driven solutions of quantum field
theories"; PS (123Kb) or PDF (143Kb);
 AUP Quantum Chromodynamics Workshop in Paris: Zachary
Guralnik, Multiple
Vacua and Boundary Conditions for SchwingerDyson
equations;
 Coral Gables Conference: Gerald Guralnik, "Numerical
quantum field theory using the source Galerkin method"; PS (109Kb) or PDF (134Kb); &
 Coral Gables Conference: Zachary Guralnik, "Boundary
conditions for SchwingerDyson equations and vacuum
selection"; PS (99Kb) or PDF (109Kb).
 1995:
 John W. Lawson and G. S. Guralnik, New Numerical Method
for Fermion Field Theory; &
 John W. Lawson and G. S. Guralnik, Source Galerkin
Calculations in Scalar Field Theory.
 1993:
 S. García, G. S. Guralnik, and J. W. Lawson, A New Method for
Numerical Quantum Field Theory.
Facilities
CHEP is a major participant in the Theoretical Physics Computing Facility
at Brown University, directing funds from the Department of Energy towards
the purchase of two Cray mediumscale supercomputer platforms, as well
as a collection of workstations (Intel, AMD, Sun) for code development
and data analysis.
For production work, the group uses the remote largescale supercomputing
facilities at NERSC. We are beginning investigations into massively parallel
algorithms, as applied to our large sets of nonlinear equations.
Help and Manuals
If you are a begginer [a newbie, a tidbit],
HET Help is for you! ;)
If you need help with *nix (Unix, GNU/Linux, Solaris, Irix, etc...) commands
(mainly GNU applications), please try any of the following links:
chepinfo [at] het [dot] brown [dot] edu
Last modified: Fri Oct 30 18:48:48 EDT 2009