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Exact chiral symmetry at finite lattice spacing would preclude the axial anomaly. In order to describe a continuum quantum field theory of Dirac fermions, lattice actions with purported exact chiral symmetry must break the flavor-singlet…

High Energy Physics - Lattice · Physics 2014-11-21 Brian C. Tiburzi

We demonstrate how chiral oscillations of a massive Dirac field can be described within quantum field theory using a finite-time interaction picture approach, where the mass term in the Lagrangian is treated as a perturbative coupling…

High Energy Physics - Phenomenology · Physics 2025-01-29 Massimo Blasone , Francesco Giacosa , Luca Smaldone , Giorgio Torrieri

We review various field theory approaches to the description of neutrino oscillations in vacuum and external fields. First we discuss a relativistic quantum mechanics based approach which involves the temporal evolution of massive…

High Energy Physics - Phenomenology · Physics 2015-03-17 Maxim Dvornikov

We study neutrino oscillations in background matter within the quantum field theory formalism where neutrino mass eigenstates are virtual particles. In this case, neutrino mass eigenstates are mixed owing to the interaction with matter.…

High Energy Physics - Phenomenology · Physics 2025-03-12 Maxim Dvornikov

Nonunitarity can arise in neutrino oscillation when the matrix with elements $\mathbf{U}_{\alpha i}$ which relate the neutrino flavor $\alpha$ and mass $i$ eigenstates is not unitary when sum over the kinematically accessible mass…

High Energy Physics - Phenomenology · Physics 2023-06-01 Chee Sheng Fong

We study the phenomena of neutrino oscillations and flavour mixing by incorporating the gravitational effects through the Dirac equation in curved spacetime inside a spherically symmetric star. We show that the flavour transition…

General Relativity and Quantum Cosmology · Physics 2025-06-19 Siddhartha Bandyopadhyay , Golam Mortuza Hossain

Partition functions of two different matrix models for QCD with chemical potential are computed for an arbitrary number of quark and complex conjugate anti-quark flavors. In the large-N limit of weak nonhermiticity complete agreement is…

High Energy Physics - Theory · Physics 2010-04-05 G. Akemann , Y. V. Fyodorov , G. Vernizzi

We study oscillations of Dirac neutrinos in background matter and a plane electromagnetic wave. First, we find the new exact solution of the Dirac-Pauli equation for a massive neutrino with the anomalous magnetic moment electroweakly…

High Energy Physics - Phenomenology · Physics 2019-02-20 Maxim Dvornikov

We study the alignment of the vacuum in gauge theories with $N_f$ Dirac fermions transforming according to a complex representation of the gauge group. The alignment of the vacuum is produced by adding a small mass perturbation to the…

High Energy Physics - Phenomenology · Physics 2014-06-06 Thomas A. Ryttov

We study the (2+1)-dimensional Dirac oscillator in the presence of an external uniform magnetic field ($B$). We show how the change of the strength of $B$ leads to the existence of a quantum phase transition in the chirality of the system.…

Quantum Physics · Physics 2013-12-19 C. Quimbay , P. Strange

We present a covariant wave-packet approach to neutrino flavor transitions in vacuum. The approach is based on the technique of macroscopic Feynman diagrams describing the lepton number violating processes of production and absorption of…

High Energy Physics - Phenomenology · Physics 2014-11-21 Dmitry V. Naumov , Vadim A. Naumov

We discuss chiral perturbation theory for two and three quark flavors in the epsilon expansion at next-to-next-to-leading order (NNLO) including a small imaginary chemical potential. We calculate finite-volume corrections to the low-energy…

High Energy Physics - Lattice · Physics 2014-11-20 Christoph Lehner , Shoji Hashimoto , Tilo Wettig

By resorting to recent results on the relativistic currents for mixed (flavor) fields, we calculate a space-time dependent neutrino oscillation formula in Quantum Field Theory. Our formulation provides an alternative to existing approaches…

High Energy Physics - Phenomenology · Physics 2008-11-26 Massimo Blasone , Paulo Pires Pacheco , Hok Wan Chan Tseung

The generation of exponential flavor hierarchies from extra-dimensional wavefunction overlaps is re-examined. We find, surprisingly, that coexistence of anarchic fermion mass matrices with such hierarchies is intrinsic and natural to this…

High Energy Physics - Phenomenology · Physics 2010-04-15 Kaustubh Agashe , Takemichi Okui , Raman Sundrum

The conventional derivation of neutrino oscillation treats neutrino mass eigenstate as plane wave with an overall evolution phase. Nevertheless, due to the intrinsic parity-violating nature of weak interactions, only the left-chiral…

High Energy Physics - Phenomenology · Physics 2020-11-25 Shao-Feng Ge , Pedro Pasquini

We study the evolution of two mixed Dirac neutrinos in an external axial-vector field. The dynamics of this system is described in the framework of relativistic wave equations approach on the basis of the known solutions of the Dirac…

High Energy Physics - Phenomenology · Physics 2008-11-26 Maxim Dvornikov

The neutrino oscillation experiments provide definitive evidence of new physics beyond the Standard Model (SM), and the neutrino mass-squared differences and flavor mixing have been precisely measured. This study examines the neutrino…

High Energy Physics - Phenomenology · Physics 2024-11-05 Jin-Lei Yang , Jie Li

The results obtained on the particle mixing in Quantum Field Theory are reviewed. The Quantum Field Theoretical formulation of fermion and boson mixed fields is analyzed in detail and new oscillation formulas exhibiting corrections with…

High Energy Physics - Theory · Physics 2007-05-23 Antonio Capolupo

Neutrino flavour oscillations are analyzed in a model in which particles experience an effective Schwarzschild geometry modified by maximal acceleration corrections. These imply a quantum violation of the equivalence principle. The…

High Energy Physics - Phenomenology · Physics 2011-09-15 V. Bozza , G. Lambiase , G. Papini , G. Scarpetta

We obtain a relativistically covariant wave equation for neutrinos in dense matter and electromagnetic field, which describes both flavor oscillations and neutrino spin rotation. Using this equation we construct a quasi-classical theory of…

High Energy Physics - Phenomenology · Physics 2020-01-24 A. V. Chukhnova , A. E. Lobanov