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While no regularization is consistent with the anomalous chiral symmetry which occurs for massless fermions, the artificial axion-induced symmetry for massive fermions is shown here to be consistent with a standard regularization, even in…

高能物理 - 理论 · 物理学 2017-08-25 P. Mitra

We construct explicit form of the anomalous effective action, in arbitrary even dimension, for Abelian vector and axial gauge fields coupled to Dirac fermions. It turns out to be a surprisingly simple extension of 2D Schwinger model…

高能物理 - 理论 · 物理学 2009-10-31 A. Smailagic , E. Spallucci

We provide a perturbative effective field theory (EFT) description for anisotropic (redshift-space) correlations between the Lyman alpha forest and a generic biased tracer of matter, which could be represented by quasars, high-redshift…

宇宙学与河外天体物理 · 物理学 2025-01-23 Anton Chudaykin , Mikhail M. Ivanov

We construct a world-line representation for the fermionic one-loop effective action with axial and also vector, scalar, and pseudo-scalar couplings. We use this expression to compute a few selected scattering amplitudes. These allow us to…

高能物理 - 理论 · 物理学 2009-10-28 Myriam Mondragon , Lukas Nellen , Michael G. Schmidt , Christian Schubert

The effective potential for the composite fields responsible for chiral symmetry breaking in weakly coupled QED in a magnetic field is derived. The global minimum of the effective potential is found to acquire a non-vanishing expectation…

高能物理 - 理论 · 物理学 2016-08-25 D. -S. Lee , P. N. McGraw , Y. J. Ng , I. A. Shovkovy

When trying to cast the free fermion in the framework of functorial field theory, its chiral anomaly manifests in the fact that it assigns the determinant of the Dirac operator to a top-dimensional closed spin manifold, which is not a…

微分几何 · 数学 2025-10-07 Matthias Ludewig , Saskia Roos

The methods of effective field theory are used to explore the theoretical and phenomenological aspects of the torsion field. Spinor action coupled to electromagnetic field and torsion possesses an additional softly broken gauge symmetry.…

高能物理 - 唯象学 · 物理学 2009-10-31 A. S. Belyaev , I. L. Shapiro

We analyze the phenomenon of fermion pairing into an effective boson associated with anomalies and the anomalous commutators of currents bilinear in the fermion fields. In two spacetime dimensions the chiral bosonization of the Schwinger…

高能物理 - 理论 · 物理学 2015-01-09 Daniel N. Blaschke , Raúl Carballo-Rubio , Emil Mottola

The effective field theory (EFT) construction when the objects of interest are the In-In (or real time) correlators rather than the In-Out S-matrix elements is constructed. This is done using the formal equivalence between the In-In and…

高能物理 - 理论 · 物理学 2025-06-30 Namit Mahajan

We develop a systematic effective field theory framework for studying $|\Delta B|=2$ interactions across energy scales. Using chiral symmetry, we construct the complete and non-redundant set of operators governing these interactions at low…

高能物理 - 唯象学 · 物理学 2026-04-30 Arnau Bas i Beneito , Ajdin Palavrić , Andrea Sainaghi

We study two well-known $SU(N)$ chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work…

高能物理 - 理论 · 物理学 2022-01-11 Philip Boyle Smith , Avner Karasik , Nakarin Lohitsiri , David Tong

We discuss how to construct anomaly-free chiral gauge theories on the lattice with exact gauge invariance in the framework of domain wall fermion. Chiral gauge coupling is realized by introducing a five-dimensional gauge field which…

高能物理 - 格点 · 物理学 2009-11-07 Yoshio Kikukawa

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and…

高能物理 - 理论 · 物理学 2009-10-31 G. de Berredo-Peixoto , J. A. Helayel-Neto , I. L. Shapiro

We build an effective field theory (EFT) for quasicrystals -- aperiodic incommensurate lattice structures -- at finite temperature, entirely based on symmetry arguments and a well-define action principle. By means of Schwinger-Keldysh…

高能物理 - 理论 · 物理学 2020-11-04 Matteo Baggioli , Michael Landry

We investigate the Hamiltonian formulation of 1+1-dimensional staggered fermions and reconstruct the vector and axial charge operators, originally identified by Arkya Chatterjee et al., within the Wilson fermion formalism. These operators…

高能物理 - 格点 · 物理学 2026-03-30 Tatsuya Yamaoka

Conformal field theory (CFT) has become an active area of research beyond its origins in statistical physics and attracted much attention due to its intrinsic mathematical interest, which reveals deep connections with other diverse branches…

数学物理 · 物理学 2024-11-20 Bolin Han

We construct the exceptional sigma model: a two-dimensional sigma model coupled to a supergravity background in a manifestly (formally) $E_{D(D)}$-covariant manner. This formulation of the background is provided by Exceptional Field Theory…

高能物理 - 理论 · 物理学 2018-05-30 Alex S. Arvanitakis , Chris D. A. Blair

The standard wisdom on the origin of massless bosons in the spectrum of a Quantum Field Theory $(QFT)$ describing the interaction of gauge fields coupled to matter fields is based on two well known features: gauge symmetry, and spontaneous…

高能物理 - 格点 · 物理学 2019-10-30 Vicente Azcoiti

Explicit exact formulas are presented, up to fourth order in a strict chiral covariant derivative expansion, for the normal parity component of the Euclidean effective action of even-dimensional Dirac fermions. The bosonic background fields…

高能物理 - 理论 · 物理学 2008-11-26 L. L. Salcedo

In this thesis we elaborate on two different aspects of the Effective Field Theory (EFT) approach to a Binary Coalescing system in General Relativity (GR). First, we consider the issue of hereditary effects in the Post-Newtonian (PN)…

高能物理 - 理论 · 物理学 2022-11-03 Giacomo Brunello