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We derive the renormalization group evolution of the quartic scalar theory with spontaneous symmetry breaking from an alternative flow equation, obtained within the externally sourced two-particle irreducible framework due to Garbrecht and…

High Energy Physics - Theory · Physics 2019-08-07 Elizabeth Alexander , Peter Millington , Jordan Nursey , Paul M. Saffin

Quantum entanglement can be an effective diagnostic tool for probing topological phases protected by global symmetries. Recently, the notion of nontrivial topology in critical systems has been proposed and is attracting growing attention.…

Strongly Correlated Electrons · Physics 2025-08-19 Wen-Hao Zhong , Hai-Qing Lin , Xue-Jia Yu

We develop a "precision-ready", model-independent EFT framework that connects general leptophilic gauge interactions to their low-energy manifestations in SMEFT and LEFT. Starting from a broad U(1)'_ell extension in which leptons carry…

High Energy Physics - Phenomenology · Physics 2025-12-03 Seyit Okan Kara

Formulas for the most general case of the zeta function associated to a quadratic+linear+constant form (in {\bf Z}) are given. As examples, the spectral zeta functions $\zeta_\alpha (s)$ corresponding to bosonic ($\alpha =2$) and to…

High Energy Physics - Theory · Physics 2009-11-07 E. Elizalde

We propose a novel scheme for combining efficiently the truncated-unity functional renormalization group (TUFRG) and the mean-field theory. It follows a method of Wang, Eberlein and Metzner that uses only the two-particle irreducible part…

Strongly Correlated Electrons · Physics 2024-05-20 Song-Jin O

We present a new class of models that stabilize the weak scale against radiative corrections up to scales of order 5 TeV without large corrections to precision electroweak observables. In these `folded supersymmetric' theories the one loop…

High Energy Physics - Phenomenology · Physics 2010-10-27 Gustavo Burdman , Z. Chacko , Hock-Seng Goh , Roni Harnik

Recent work on Euclidean quantum gravity on the four-ball has proved regularity at the origin of the generalized zeta-function built from eigenvalues for metric and ghost modes, when diffeomorphism-invariant boundary conditions are imposed…

High Energy Physics - Theory · Physics 2009-11-11 Giampiero Esposito , Guglielmo Fucci , Alexander Yu. Kamenshchik , Klaus Kirsten

We emphasize the close relationship between zeta function methods and arbitrary spectral cutoff regularizations in curved spacetime. This yields, on the one hand, a physically sound and mathematically rigorous justification of the standard…

High Energy Physics - Theory · Physics 2015-06-16 Adel Bilal , Frank Ferrari

We develop a systematic extension of mode-coupling theory (MCT) that incorporates critical dynamical fluctuations. Starting from a microscopic diagrammatic theory, we identify dominant classes of divergent diagrams near the mode-coupling…

Statistical Mechanics · Physics 2025-12-16 Corentin C. L. Laudicina , Liesbeth M. C. Janssen , Grzegorz Szamel

We investigate the strong coupling problem in modified teleparallel gravity theories using the effective field theory (EFT) approach, demonstrating that it is possible to shift the emergence of new degrees of freedom (DoFs) to lower orders…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Yu-Min Hu , Bi-Chu Li , Yang Yu , Martin Krššák , Emmanuel N. Saridakis , Yi-Fu Cai

We investigate a possibility of scale invariant but non-conformal supersymmetric field theories from a perturbative approach. The explicit existence of monotonically decreasing a-function that generates beta-functions as a gradient flow…

High Energy Physics - Theory · Physics 2015-05-30 Yu Nakayama

Topological quantum field theory (TQFT) provides a unifying framework for describing topological phases of matter and for constructing quantum error-correcting codes, playing a central role across high-energy physics, condensed matter, and…

Quantum Physics · Physics 2026-01-06 Yitao Feng , Hanyu Xue , Ryohei Kobayashi , Po-Shen Hsin , Yu-An Chen

Threshold corrections provide a universal link between experimentally measured broken-phase parameters and $\overline{\hbox{MS}}$ renormalised symmetric-phase parameters used in SMEFT renormalisation-group (RG) analyses and matching to…

High Energy Physics - Phenomenology · Physics 2026-01-23 Anke Biekötter , Livia E. G. Maskos , Benjamin D. Pecjak

There is a widely held belief that conformal field theories (CFTs) require zero beta functions. Nevertheless, the work of Jack and Osborn implies that the beta functions are not actually the quantites that decide conformality, but until…

High Energy Physics - Theory · Physics 2015-09-14 Jean-François Fortin , Benjamin Grinstein , Andreas Stergiou

We obtain the $\beta$-functions for the two dimensionless couplings of a 4d renormalizable scalar field theory with cubic and quartic 4-derivative interactions. Both couplings can be asymptotically free in the UV, and in some cases also in…

High Energy Physics - Theory · Physics 2023-06-19 Bob Holdom

Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for quantum gravity, since, when endowed with…

High Energy Physics - Theory · Physics 2016-07-13 Joseph Ben Geloun , Riccardo Martini , Daniele Oriti

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop…

High Energy Physics - Phenomenology · Physics 2025-12-19 Renato M. Fonseca , Pablo Olgoso , José Santiago

Inspired by the method of smoothed asymptotics developed by Terence Tao, we introduce a new ultra-violet regularisation scheme for loop integrals in quantum field theory which we call $\eta$ regularisation. This allows us to reveal a…

High Energy Physics - Theory · Physics 2024-06-24 Antonio Padilla , Robert G. C. Smith

According to recent arguments by the author, the conformal field theory (CFT) describing the scaling limit of the integer quantum Hall plateau transition is a deformed level-4 Wess-Zumino-Novikov-Witten model with Riemannian target space…

Mathematical Physics · Physics 2021-07-27 Martin R. Zirnbauer

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

Strongly Correlated Electrons · Physics 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais