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In this thesis we deal with different aspects of quantum field theory, particularly in non-perturbative but also perturbative regimes, applied to the intellectual construction that is the Standard Model for Particle Physics (SM), but also…

High Energy Physics - Phenomenology · Physics 2023-09-25 Alexandre Salas-Bernárdez

Effective Field Theory (EFT) provides a powerful framework to exploit a separation of scales in order to perform systematically improvable, model-independent calculations. We apply this method to strongly interacting quantum systems with…

Nuclear Theory · Physics 2009-06-25 H. -W. Hammer

We introduce regular charts as physical reference frames in spacetime, and we show that general spacetimes can always be fully captured by regular charts. Effective quantum field theories (QFTs) can be conveniently defined in regular…

Mathematical Physics · Physics 2013-02-19 Andreas Raab

The method of effective field theories (EFTs) is developed for the scattering of two particles at wavelengths which are large compared to the range of their interaction. It is shown that the renormalized EFT is equivalent to the effective…

Nuclear Theory · Physics 2008-11-26 U. van Kolck

Effective field theories (EFT) are commonly used to parameterize effects of BSM physics in vector boson scattering (VBS). For Wilson coefficients which are large enough to produce presently observable effects, the validity range of the EFT…

High Energy Physics - Phenomenology · Physics 2021-08-18 Jannis Lang , Stefan Liebler , Heiko Schäfer-Siebert , Dieter Zeppenfeld

We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We recognize quantum circuit model of computation as factorisable scattering model and propose that a quantum computer is associated with a quantum many-body system solved by the Bethe ansatz. As an typical example to support our…

General Physics · Physics 2012-04-10 Yong Zhang

Investigation of strongly interacting, nonlinear quantum field theories (QFT-s) remains one of the outstanding challenges of modern physics. Here, we describe analog quantum simulators for nonlinear QFT-s using mesoscopic superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-11-19 Ananda Roy , Hubert Saleur

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

In the present work a general frame for the scattering theory of local, relativistic dipole quantum fields is presented and some models of interacting dipole fields are considered, i.e. local, relativistic quantum fields with indefinite…

Mathematical Physics · Physics 2008-11-26 H. Gottschalk

We use soft-collinear effective theory (SCET) to study the factorization properties of deep inelastic scattering in the region of phase space where 1-x = O(Lambda_{QCD/Q}). By applying a regions analysis to loop diagrams in the Breit frame,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Ben D. Pecjak

Conformal field theory (CFT) has been extremely successful in describing large-scale universal effects in one-dimensional (1D) systems at quantum critical points. Unfortunately, its applicability in condensed matter physics has been limited…

Strongly Correlated Electrons · Physics 2017-02-15 Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti , Pasquale Calabrese

We present a simple introduction to the techniques of effective field theory (EFT) and their application to QCD. For problems with more than one energy scale, the EFT approach is a useful alternative to more traditional model-building…

Nuclear Theory · Physics 2007-05-23 U. van Kolck , L. J. Abu-Raddad , D. M. Cardamone

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

We study a one-dimensional system of two-component fermions in the limit of strong attractive particle-particle interactions. First, we analyze scattering in the corresponding few-body problem, which is analytically solvable via Bethe…

We investigate the thermodynamic Bethe ansatz (TBA) equations for a system of particles which dynamically interacts via the scattering matrix of affine Toda field theory and whose statistical interaction is of a general Haldane type. Up to…

High Energy Physics - Theory · Physics 2009-10-31 A. Fring , C. Korff , B. J. Schulz

Simulating the full dynamics of a quantum field theory over a wide range of energies requires exceptionally large quantum computing resources. Yet for many observables in particle physics, perturbative techniques are sufficient to…

High Energy Physics - Phenomenology · Physics 2021-12-01 Christian W. Bauer , Marat Freytsis , Benjamin Nachman

Weak vector boson scattering at high energies will be one of the key measurements in current and upcoming LHC runs. It is most sensitive to any new physics associated with electroweak symmetry breaking. However, a conventional EFT analysis…

High Energy Physics - Phenomenology · Physics 2016-10-14 Marco Sekulla , Wolfgang Kilian , Thorsten Ohl , Jürgen Reuter

The light-cone approach is reviewed. This method allows to find the underlying quantum field theory for any integrable lattice model in its gapless regime. The relativistic spectrum and S-matrix follows straightforwardly in this way through…

High Energy Physics - Theory · Physics 2009-09-25 H. J. de Vega

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi