arXiv subjects

Tudor Pătuleanu

Publications and source records attributed to Tudor Pătuleanu.

3 recordsLinked to original sources

arXiv2026

Strongly interacting fermions under imaginary rotation

In the present study, we investigate the phase diagram of strongly-interacting fermions under imaginary rotation. We employ the linear sigma model coupled to quarks in the mean field approximation. The fermion expectation values are computed in the local density approximation (LDA), using the well-known expressions derived using cylindrical modes for states under rigid rotation, at finite temperature $T$ and chemical potential $μ$. We study the impact of the fractalization of thermodynamics on the phase diagram in the far-field limit (far from the rotation axis). We also reveal non-trivial features such as a complete inhibition of the chiral symmetry restoration on the rotation axis above a critical imaginary angular velocity. We demonstrate explicitly how the transition line interpolates between its shape on the rotation axis and in the far-field limit by studying the chiral phase transition at finite distances from the rotation axis. We also address the moment of inertia of the system and discuss differences and similarities to lattice studies of QCD matter under imaginary rotation.

nucl-th↗

arXiv2026

Quantization of the electroweak Volkov-Proca theory

We quantize the charged sector of the electroweak theory in an external electromagnetic plane-wave background after spontaneous symmetry breaking, which we refer to as the electroweak Volkov-Proca theory, and analyze its global $U(1)$ symmetry and continuous residual translation subgroup together with the associated conserved charges and momentum components that label the states. We further derive the completeness and orthonormality relations for the Volkov-Proca states in Ritus form, and construct the off-shell and on-shell propagators, including their representation in terms of the scalar Volkov propagator. Finally, we derive the Källén-Lehmann spectral representation and the LSZ reduction formula for the Volkov-Proca states.

hep-th↗

arXiv2025

Dirac fermions under imaginary rotation

In the present study, we investigate the properties of an ensemble of free Dirac fermions, at finite inverse temperature $β$ and finite chemical potential $μ$, undergoing rigid rotation with an imaginary angular velocity $Ω=iΩ_I$. Our purpose is to establish the analytical structure of such states, as well as the prospects (and dangers) of extrapolating results obtained under imaginary rotation to the case of real rotation. We show that in the thermodynamic limit, the state of the system is akin to a stationary system with modified inverse temperature $β_q = qβ$ and the same chemical potential, where $q$ is the denominator of the irreducible fraction $ν= βΩ_I / 2π= p/q$. The temperature of the system becomes a fractal function of the rotation parameter, as in the case of the scalar field. The chemical potential breaks the fractalization of fermions. We also compute the thermodynamic potential $Φ$ and associated thermodynamic functions, showing that they also exhibit fractal behavior. Finally, we evaluate the axial and helical fluxes through the transverse plane, generated through the vortical effects, and show that they diverge in the thermodynamic limit, in the case when $ν= 1/q$ and $q \to \infty$.

hep-th↗