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Research Activity
Lattice quantum field theory has always been my main research
area. My most recent research interests include:
Large-N gauge theories
I studied the first-order large-N phase transition of the
twisted Eguchi-Kawai model, developing a multicanonical algorithm for
effective Monte Carlo simulation
[Nucl. Phys. B
(Proc. Suppl.) 73 (1999) 724].
High-temperature expansion and critical properties of
three-dimensional spin models
In collaboration with
Martin Hasenbusch,
Andrea Pelissetto, Paolo Rossi, and Ettore Vicari,
I am studying the critical properties of three-dimensional spin
models, such as Ising
[Phys. Rev.
E60 (1999) 3526], XY
[Phys. Rev.
B63 (2001) 214503], and Heisenberg
[Phys. Rev. B
65 (2002) 144520]
models. We compute theoretical
predictions by a combination of high-temperature series expansion and
Monte Carlo simulations, and compare with experimental data.
I also worked on the extension of high-temperature series for the
Ising model
J.
Stat. Phys. 103 (2001) 369];
the 25-th order series I generated were analyzed in
Phys. Rev. E 65
(2002) 066127.
In collaboration with Pietro Parruccini and Paolo
Rossi, I am studying more theoretical issues related to the
"improvement program" in O(N) spin models
[Phys. Rev. E 67 (2003) 046121].
Hamiltonian lattice field theory
In collaboration with
Matteo Beccaria
and Alessandra Feo, I
am working on Lattice field theory in the Hamiltonian formalism
and Quantum Monte Carlo.
In 2001 I organized a meeting devoted
to Quantum Monte Carlo.
Matrix theory
In collaboration with Jacek Wosiek, I am studying
supersymmetric Yang-Mills quantum mechanics by truncated Fock space
techniques; the target is to study the 10-dimensional model, which is
conjectured to be equivalent to
M-theory;
we wrote a paper devoted to the 2-dimensional model
[Phys. Lett. B 550 (2002) 121]
and another devoted to the 4-dimensional model
[hep-th/0407021]
(supplementary material available).
Massimo Campostrini,
Massimo.Campostrini@df.unipi.it