We show how certain long-range models of interacting fermions in d + 1 dimensions are equivalent to gauge theories in D + 1 dimensions in which gauge fields are defined in a dimension (D) larger than the dimension (d) of the fermionic theory to be simulated. For d = 1 it is possible to obtain an exact mapping, providing an expression of the fermionic interaction potential in terms of half-integer powers of the Laplacian. An analogous mapping can be applied to the kinetic term of the bosonized theory. A diagrammatic representation of the theories obtained by dimensional mismatch is presented, and consequences and applications of the established duality are discussed. Finally, by using a perturbative approach, we address the canonical quantiz...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
The method of coset-space dimensional reduction is employed in order to proceed from a gauged E_8 * ...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
We show how certain long-range models of interacting fermions in d + 1 dimensions are equivalent to ...
3We show how certain long-range models of interacting fermions in d + 1 dimensions are equivalent to...
In this article, we study the stability of the space of asymptotic fermion states in (2+1)D, when lo...
Building on earlier work in the high energy and condensed matter communities, we present a web of du...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
The previously developed renormalizable perturbative 1/N-expansion in higher dimensional scalar fiel...
Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often ...
The “synthetic dimension” proposal [A. Celi et al., Phys. Rev. Lett. 112, 043001 (2014)] uses atoms ...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
The method of coset-space dimensional reduction is employed in order to proceed from a gauged E_8 * ...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
We show how certain long-range models of interacting fermions in d + 1 dimensions are equivalent to ...
3We show how certain long-range models of interacting fermions in d + 1 dimensions are equivalent to...
In this article, we study the stability of the space of asymptotic fermion states in (2+1)D, when lo...
Building on earlier work in the high energy and condensed matter communities, we present a web of du...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
During this Ph.D., we studied one-dimensional systems with long-range couplings. In the first part, ...
The previously developed renormalizable perturbative 1/N-expansion in higher dimensional scalar fiel...
Continuum limits are a powerful tool in the study of many-body systems, yet their validity is often ...
The “synthetic dimension” proposal [A. Celi et al., Phys. Rev. Lett. 112, 043001 (2014)] uses atoms ...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...
The method of coset-space dimensional reduction is employed in order to proceed from a gauged E_8 * ...
We investigate a model containing two species of one-dimensional fermions interacting via a gauge fi...