“…In this talk, I review a number of important developments, including proposals for simulating strongly interacting quantum field theories, and for quantum computations of hadron and nuclear structure. …”
Enlace del recurso

“…The analytic conformal bootstrap is an array of techniques to characterize, constrain, and solve strongly interacting quantum field theories using symmetries, causality, unitarity, and other general principles. …”
Enlace del recurso

“…As a result, rather than the mass-eigenstate vacuum, the correct ground state to describe the underlying dynamics is the flavor vacuum, proposed some time ago by Blasone and Vitiello as a description of quantum field theories with mixing. At the microscopic level, the breaking of target-space supersymmetry is induced in our space-time foam model by the relative transverse motion of brane defects. …”
Enlace del recurso
Enlace del recurso

“…This brings significantly closer the possibility of implementing dynamically interesting physics models on medium term quantum devices, and introduces a new direction in simulating aspects of quantum field theories (QFTs), notably on curved manifold.…”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…They both relate to basic properties of the fundamental quantum field theories describing strong and electro-weak interactions and to their phenomenological applications. …”
Enlace del recurso

“…It is sure to be of interest to mathematical and theoretical physicists, particularly those working on classical and quantum field theories and on nonlinear dynamical systems.…”
Enlace del recurso

“…Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. …”
Enlace del recurso
Enlace del recurso

“…These properties play foundational roles in relativistic quantum field theories (RQFTs), are supported by high-precision experiments, and figure into explanations of a wide range of phenomena, from antimatter, to the periodic table of the elements, to superconductors and superfluids. …”
Enlace del recurso
Enlace del recurso

“…These lecture notes provide a systematic introduction to matrix models of quantum field theories with non-commutative and fuzzy geometries. …”
Enlace del recurso
Enlace del recurso

“…We review, in the first part of this work, many pioneering works on supersymmetry and organize these results to show how supersymmetric quantum field theories arise from spin-statistics, N{\oe}ther and a series of no-go theorems. …”
Enlace del recurso

“…I discuss the idea that quantum irreversibility is a general principle of nature and a related "conformal hypothesis", stating that all fundamental quantum field theories should be renormalization-group (RG) interpolations between ultraviolet and infrared conformal fixed points. …”
Enlace del recurso
Enlace del recurso

“…This unique ability to take single particle resolved snapshots of a many-body system offers numerous wide-ranging applications in exploring the complex microscopic interplay of e.g. charge and spin carriers in electronic materials or the existence of Higgs particles in relativistic quantum field theories.</p>…”
Enlace del recurso

“…This book analyzes, from a single perspective, some of the most important applications: the critical-point theory in classical statistical mechanics, the scalar quantum field theories in two and three space-time dimensions, and Tomonaga's theory of the ground state of one-dimensional Fermi systems. …”
Enlace del recurso

“…When the renormalisation procedure for quantum field theories was finally unravelled, theoreticians realised that these gave new views on how the basic forces among elementary particles all could have a common, unified, origin. …”
Enlace del recurso
Enlace del recurso

“…We show that exists a topological contribution to the thermoelectric effect that arises between topological and thermal quantum field theories applied at very low energies. This formalism provides us with a quantized topological mass proportional to the temperature T leading, through an electric potential V, to a Seebeck coefficient where we identify an anomalous contribution that can be associated to the creation of real electron-hole Schwinger’s pairs close to the topological bands. …”
Enlace del recurso
Enlace del recurso
Enlace del recurso

“…Recently introduced generalized global symmetries have been useful in order to understand non-perturbative aspects of quantum field theories in four and lower dimensions. In this paper we focus on 1-form symmetries of weakly coupled 6d supersymmetric gauge theories coupled to dynamical tensor multiplets. …”
Enlace del recurso
Enlace del recurso

“…$\mathrm{T}\overline{\mathrm{T}}$ deformation was originally proposed as an irrelevant solvable deformation for 2d relativistic quantum field theories (QFTs). The same family of deformations can also be defined for integrable quantum spin chains which was first studied in the context of integrability in AdS/CFT. …”
Enlace del recurso
Enlace del recurso

“…We also discuss connections with the <math><mrow><mi>T</mi><mover accent="true"><mi>T</mi><mo>¯</mo></mover></mrow></math> and hard rod deformations known from quantum field theories.…”
Enlace del recurso
Enlace del recurso

“…The role of continuous symmetries in classical and quantum field theories is exposed at a technical level accessible even for non specialists. …”
Enlace del recurso
Enlace del recurso

“…The result is a broad journey through the most recent developments in mathematical physics, such as string theory, quantum gravity, noncommutative geometry, twistor theory, Gauge and Quantum fields theories, just to mention a few. The reader, accompanied on this journey by some of the fathers of these theories, explores some far reaching interfaces where mathematics and theoretical physics interact profoundly and gets a broad and deep understanding of subjects which are at the core of recent developments in mathematical physics. …”
Enlace del recurso
Enlace del recurso