Gauge theories are at the basis of the description of many natural phenomena, from elementary particle, to antiferromagnets, to

high temperature superconductors.

As for all quantum field theories, they are easy to formulate but very difficult to solve.

Starting from the master thesis with Prof. F. Gliozzi I have been interested in studying the physics of strongly coupled

gauge theories.

I have used several tools to study them such as, variational methods based on Tensor Networks, Monte Carlo methods, analytical calculations using super Symmetry.

In this way I was able to obtain several interesting results. Among them,

I have recently coauthored with Prof. Lewenstein and my colleagues at ICFO a paper about a possible way to simulate with ultra-cold atoms a strongly coupled Abelian LGT, including its out of equilibrium dynamics.

I am actively working on the relation between gauge symmetry, topological order, and the renormalization group, all seen from a Tensor-Network perspective. This is the follow up of the original studies performed together with Prof. Vidal during my Post-Doc at the University of Queensland.

In the past, during my PhD, together with the group of Prof. Di Giacomo at the University of Pisa, I have determined the relation between the mass of the dual gauge field and the mass of the monopole field, in both the confining phase of the Compact U(1) LGT and Yang Mills LGT in 4d, that is crucial to understand if confinement can be explained through a similar mechanism to the the one that is responsible for superconductivity

My work in this direction has been awarded with a personal Marie Curie Fellowship in the FP7 framework for the project “Enagages”.

I am currently working on generalizations of the results obtained so far.

# Online talks on my results

- G. Vidal talk at Perimeter Institute about ER and Gauge symmetries
- GGI talk about simulation of Abelian gauge theories with TN and optical lattices
- CECAM ETH talk about simulating LGT with Tensor Networks
- EMMI SIGN2014 talk about using quantum simulators and tensor networks to simulate LGT

# Relevant Publications

- Simulations of non-Abelian gauge theories with optical lattices ,

Tagliacozzo, L., Celi, A., Orland, P., and Lewenstein, M., arXiv , Vol.

Pag. arXiv:1211.2704, (11/2012), 2012arXiv1211.2704T, - Hauke, Philipp, Tagliacozzo, Luca, & Lewenstein, Maciej 2012, Science Speeding Up Quantum Field Theories
- Tagliacozzo, L., Celi, A., Zamora, A., & Lewenstein, M. 2012, ArXiv e-prints Optical Abelian Lattice Gauge Theories
- Tagliacozzo, L. & Vidal, G. 2011, Physical Review B Entanglement renormalization and gauge symmetry
- D’Alessandro, A., D’Elia, M., & Tagliacozzo, L. 2007, Nuclear Physics B Dual superconductivity and vacuum properties in Yang Mills theories
- D’Alessandro, A., D’Elia, M., & Tagliacozzo, L. 2007, Quark Confinement

and the Hadron Spectrum VII Dual superconductivity and typology of the QCD vacuum - D’Elia, Massimo & Tagliacozzo, Luca 2006, Physical Review D Direct

numerical computation of disorder parameters - Tagliacozzo, Luca 2006, Physics Letters B Monopole antimonopole

correlation functions in 4D U(1) gauge theory - Espriu, Domènec & Tagliacozzo, Luca 2004, Physics Letters B Compact

lattice U(1) and Seiberg Witten duality: a quantitative comparison - Espriu, Domènec & Tagliacozzo, Luca 2003, Physics Letters B Compact

lattice /U(1) and Seiberg-Witten duality

# Collaborators

Alessio Celi, Philippe Corboz, Massimo D’Elia, Omjyoti Dutta, Domenec Espriu, M. Mitchell, Maciej Lewenstein, Peter Orland, Guifre Vidal.