The nonperturbative functional renormalization group and its applications
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
Long-range interacting quantum systems
In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …
Interplay of spin waves and vortices in the two-dimensional XY model at small vortex-core energy
The Berezinskii-Kosterlitz-Thouless (BKT) mechanism describes universal vortex unbinding
in many two-dimensional systems, including the paradigmatic XY model. However, most of …
in many two-dimensional systems, including the paradigmatic XY model. However, most of …
Nonperturbative functional renormalization-group approach to the sine-Gordon model and the Lukyanov-Zamolodchikov conjecture
We study the quantum sine-Gordon model within a nonperturbative functional
renormalization-group approach (FRG). This approach is benchmarked by comparing our …
renormalization-group approach (FRG). This approach is benchmarked by comparing our …
Nonperturbative renormalization group treatment of amplitude fluctuations for| φ| 4 topological phase transitions
The study of the Berezinskii-Kosterlitz-Thouless transition in two-dimensional| φ| 4 models
can be performed in several representations, and the amplitude-phase (AP) Madelung …
can be performed in several representations, and the amplitude-phase (AP) Madelung …
[HTML][HTML] Topological phase transitions in four dimensions
We show that four-dimensional systems may exhibit a topological phase transition
analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in …
analogous to the well-known Berezinskii-Kosterlitz-Thouless vortex unbinding transition in …
LonTI Lectures on Sine-Gordon and Thirring
A Torrielli - arxiv preprint arxiv:2211.01186, 2022 - arxiv.org
arxiv:2211.01186v1 [hep-th] 2 Nov 2022 Page 1 DMUS-MP-22/20 LonTI Lectures on Sine-Gordon
and Thirring Alessandro Torrielli1 Department of Mathematics, School of Mathematics and …
and Thirring Alessandro Torrielli1 Department of Mathematics, School of Mathematics and …
Exploring the θ-vacuum structure in the functional renormalization group approach
A bstract We investigate the θ-vacuum structure and the't Hooft anomaly at θ= π in a simple
quantum mechanical system on S 1 to scrutinize the applicability of the functional …
quantum mechanical system on S 1 to scrutinize the applicability of the functional …
Renormalization group flows and fixed points for a scalar field in curved space with nonminimal coupling
Using covariant methods, we construct and explore the Wetterich equation for a nonminimal
coupling F (ϕ) R of a quantized scalar field to the Ricci scalar of a prescribed curved space …
coupling F (ϕ) R of a quantized scalar field to the Ricci scalar of a prescribed curved space …
Exact renormalization group and Sine Gordon theory
P Oak, B Sathiapalan - Journal of High Energy Physics, 2017 - Springer
A bstract The exact renormalization group is used to study the RG flow of quantities in field
theories. The basic idea is to write an evolution operator for the flow and evaluate it in …
theories. The basic idea is to write an evolution operator for the flow and evaluate it in …