New soliton solutions of the mZK equation and the Gerdjikov-Ivanov equation by employing the double G′/G,1/G-expansion method by M. Ashik Iqbal, Dumitru Baleanu, M. Mamun Miah, H.M. Shahadat Ali, Hashim M. Alshehri, M.S. Osman

“…The proposed Gerdjikov–Ivanov model can be used in the field of nonlinear optics, weakly nonlinear dispersion water waves, quantum field theory etc. In this work, we developed complete traveling wave solutions with specific t-type, kink type, bell-type, singular solutions, and periodic singular solutions to the proposed mZK equation and the Gerdjikov-Ivanov equation with the aid of the double G′/G,1/G- expansion method. …”
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:THE COSMOLOGICAL OTOC: Formulating New Cosmological Micro-Canonical Correlation Functions for Random Chaotic Fluctuations in Out-Of-Equilibrium Quantum Statistical Field Theory by Sayantan Choudhury

“…The out-of-time-ordered correlation (OTOC) function is an important new probe in quantum field theory which is treated as a significant measure of random quantum correlations. …”
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The model for non-Abelian field topology for the multilayer fractional quantum anomalous Hall device by Jie Shen, Jie Shen, Wen Qi Dong, Wen Qi Dong, Xuewei Shi, Jing Wang, Jing Wang, Yang Wang, Han Min Liu

“…Then, the non-Abelian quantum field theory was adopted to analyze and prove the conjecture on the causes that can lead to the fractional quantum Hall effect (FQHE). …”
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Particles of a de Sitter Universe by Gizem Şengör

“…This article aims to summarize recent advances along this line that benefit towards a broader understanding of quantum field theory and holography at different signs of the cosmological constant. …”
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Consistent Deformations for a Non-Standard <i>D</i> = 6 Topological BF Model from a BRST-Symmetry-Based Cohomological Approach by Solange-Odile Saliu, Eugen-Mihăiţă Cioroianu, Constantin Bizdadea

“…This cohomological BRST approach is applied to the starting free model under standard “selection rules” from Quantum Field Theory. Our findings are completely new and reveal a self-interacting topological BF model in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>6</mn></mrow></semantics></math></inline-formula> with a complex gauge structure that is entirely read from the expression of the fully deformed solution to the classical master equation (the canonical generator of the antifield–BRST symmetry), and includes a generalization of the famous <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>D</mi><mo>=</mo><mn>2</mn></mrow></semantics></math></inline-formula> gravity in BF formulation.…”
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Fractional Gaussian fields: A survey by Lodhia, Asad Iqbal, Sheffield, Scott Roger, Sun, Xin, Watson, Samuel Stewart

“…These fields have applications to statistical physics, early-universe cosmology, finance, quantum field theory, image processing, and other disciplines. …”
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Aspects of double geometry and supersymmetric gauge theories by Naseer, Usman

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Two topics in non-perturbative lattice field theories : the U(1) quantum link model and perfect actions for scalar theories by Tsapalis, Antonios S., 1968-

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Consciousness as a quantum dynamic effect by Poznanski, R. R., Cacha, L. A., Ali, J., Aur, D., Perez Velazquez, J. L., Bahadoran, M., Yupapin, P. P., Yunus, J.

“…Quasiparticle interactions in brain matter can produce "virtual" particles, hitherto mathematical conveniences, which reflect the manifold images of brain activities in terms of effects on charged particles that have physical quantum effect similar to the Aharonov-Bohm effect in quantum field theory. Electromagnetic potentials in the quantum domain pervade the entire brain through causative interactions. …”

Explicit solitary wave structures for the fractional-order Sobolev-type equations and their stability analysis by Tahir Shahzad, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Nauman Ahmed, Ali Akgül, Thabet Abdeljawad, Inas Amacha

“…These equations occur in several fields, including particularly in quantum field theory, plasma theory, ecology, consolidation of clay and fluid dynamics. …”
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Enhanced piezoelectricity in 0.7BiFeO3-0.3BaTiO3 lead-free ceramics: Distinct effect of poling engineering by Aizhen Song, Yu-Cheng Tang, Hezhang Li, Ning Wang, Lei Zhao, Jun Pei, Bo-Ping Zhang

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A Note on Certain General Transformation Formulas for the Appell and the Horn Functions by Insuk Kim, Arjun K. Rathie

“…The Appell series is also used in quantum field theory, especially in the evaluation of Feynman integrals. …”
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Equation of state of the running vacuum by Cristian Moreno-Pulido, Joan Solà Peracaula

“…Abstract Recent studies of quantum field theory in FLRW spacetime suggest that the cause of the speeding up of the universe is the running vacuum (RV), see Moreno-Pulido and Solà Peracaula (Eur Phys J C 82(6):551, 2022; Eur Phys J C 80(8):692, 2020). …”
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Series Solution of the Time-Dependent Schrödinger–Newton Equations in the Presence of Dark Energy via the Adomian Decomposition Method by Tiberiu Harko, Matthew J. Lake, Man Kwong Mak

“…The extensive use of the Adomian Decomposition Method in the field of quantum mechanics and quantum field theory may open new mathematical, and physical, perspectives on obtaining semi-analytical solutions for some complex problems of quantum theory.…”
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Quantum Non-Locality and the CMB: What Experiments Say by Maurizio Consoli, Alessandro Pluchino, Paola Zizzi

“…Starting from this remark, we first argue that, given the present view of the vacuum, the basic tenets of Quantum Field Theory cannot guarantee that Einstein Special Relativity, with no preferred frame, is the <i>physically realized</i> version of relativity. …”
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The Darboux Transformation and <i>N</i>-Soliton Solutions of Gerdjikov–Ivanov Equation on a Time–Space Scale by Huanhe Dong, Xiaoqian Huang, Yong Zhang, Mingshuo Liu, Yong Fang

“…The Gerdjikov–Ivanov (GI) equation is one type of derivative nonlinear Schrödinger equation used widely in quantum field theory, nonlinear optics, weakly nonlinear dispersion water waves and other fields. …”
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Variational and non-variational approaches with Lie algebra of a generalized (3 + 1)-dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation in Engineering and Physics by Oke Davies Adeyemo, Chaudry Masood Khalique, Yusif S. Gasimov, Francesco Villecco

“…Nonlinear partial differential equations emerge in an extensive variants of physical problems inclusive of fluid dynamics, solid mechanics, plasma physics, quantum field theory as well as mathematics and engineering. …”
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Viable Requirements of Curvature Coupling Helical Magnetogenesis Scenario by Tanmoy Paul

“…In the present work, we examine the following points in the context of curvature coupling helical magnetogenesis scenario where the electromagnetic field couples with the background Ricci scalar as well as with the background Gauss-Bonnet cuvature term: (1) whether the model is consistent with the predictions of perturbative quantum field theory (QFT) and (2) whether the curvature perturbation induced by the generated electromagnetic (EM) field during inflation is consistent with the Planck data. …”
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Unconventional SUSY and Conventional Physics: A Pedagogical Review by Pedro D. Alvarez, Lucas Delage, Mauricio Valenzuela, Jorge Zanelli

“…The resulting systems are remarkably simple, closely resembling a standard quantum field theory and SUSY still emerges as a contingent symmetry that depends on the features of the vacuum/ground state. …”
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Higher-Order Corrections to the Effective Field Theory of Low-Energy Axions by Bryan Cordero-Patino, Álvaro Duenas-Vidal, Jorge Segovia

“…In general, the physics of axions is detailed by a quantum field theory of a real scalar field, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ϕ</mi></semantics></math></inline-formula>. …”
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