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The widespread belief that the effective action is convex and has a flat bottom under broken global symmetry is shown to be wrong. We show spontaneous symmetry breaking necessarily accompanies non-convexity in the effective action for…

Statistical Mechanics · Physics 2016-06-20 Nobu-Hiko Asanuma

We describe the self-duality symmetries for 4d Maxwell theory at any value of the coupling $\tau$ via topological manipulations that include gauging continuous symmetries with flat connections. Moreover, we demonstrate that the…

High Energy Physics - Theory · Physics 2025-06-05 Elise Paznokas

We propose a method to construct on-shell component actions for theories with 1/2 partial breaking of global supersymmetry within the nonlinear realization (coset) approach. In contrast with the standard superfield approach in which…

High Energy Physics - Theory · Physics 2015-06-18 S. Bellucci , S. Krivonos , A. Sutulin

The properties of the effective field theory relevant for the low energy structure generated by the Goldstone bosons of a spontaneously broken symmetry are reexamined. It is shown that anomaly free, Lorentz invariant theories are…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

Beyond standard approaches in existing literature, we explore the relative shift in the transition temperature of a homogeneous dilute Bose gas using the Cornwall-Jackiw-Tomboulis effective action formalism within the improved Hartree-Fock…

Quantum Gases · Physics 2024-10-01 Nguyen Van Thu , Pham Duy Thanh

Recently, it was demonstrated that the discrepancy between the fixed-order (FOPT) and contour-improved (CIPT) perturbative expansions for $\tau$-lepton decay hadronic spectral function moments, which had been affecting the precision of…

High Energy Physics - Phenomenology · Physics 2023-08-29 Néstor G. Gracia , André H. Hoang , Vicent Mateu

We study correlation functions of a conserved spin-1 current $J_\mu$ in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point…

High Energy Physics - Theory · Physics 2020-04-13 Anatoly Dymarsky , Joao Penedones , Emilio Trevisani , Alessandro Vichi

Quantum systems governed by non-Hermitian Hamiltonians with $\PT$ symmetry are special in having real energy eigenvalues bounded below and unitary time evolution. We argue that $\PT$ symmetry may also be important and present at the level…

High Energy Physics - Theory · Physics 2021-03-30 Carl M Bender , Alexander Felski , S P Klevansky , Sarben Sarkar

In this thesis we study the momentum space approach to the solution of the CWI's of CFT's in higher dimensions. Our work's goal is to illustrate the essential steps needed to build tensor correlators starting from the scalar solutions, for…

High Energy Physics - Theory · Physics 2021-04-02 Matteo Maria Maglio

A megascopic revalidation is offered providing responses and resolutions of current inconsistencies and existing contradictions in present-day quantum theory. As the core of this study we present an independent proof of the Goldstone…

General Physics · Physics 2020-04-03 Michal Svrček

B.W.Lee/K.Symanzik proved that Ward-Takahashi identities and tadpole renormalization force all ultra-violet quadratic divergences (UV-QD) to be absorbed into the physical renormalized pseudo-scalar pion mass in O(4)LSM (linear sigma models)…

High Energy Physics - Phenomenology · Physics 2012-08-09 Bryan W. Lynn

The paper concerns the effective field theory methods used to study the low energy structure of systems with a spontaneously broken symmetry. I first explain how the method works in the context of quantum chromodynamics and then discuss a…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Leutwyler

We revisit the gravitational boundary action at null infinity of asymptotically flat spacetimes. We fix the corner ambiguities in the boundary action by using the constraint that (exponential of) the on-shell action leads to tree-level…

High Energy Physics - Theory · Physics 2026-04-24 Shivam Upadhyay

It is well known that continuous symmetries of quantum fields can be realized non-linearly, e.g. in the context of sigma models, and can also be spontaneously broken on non-compact spacetimes. In this note we study how these effects are…

High Energy Physics - Theory · Physics 2025-09-15 Federico Bonetti , Michele Del Zotto , Ruben Minasian

We consider nonrelativistic superfluids where the global U(1)-symmetry is spontaneously broken. At sufficiently long wavelengths, the relevant degree of freedom is the massless Goldstone mode and we construct an effective low energy theory…

Condensed Matter · Physics 2007-05-23 Jens O. Andersen

In this paper, we discuss the construction of Effective Field Theories (EFTs) in which a chiral fermion, charged under both gauge and global symmetries, is integrated out. Inspired by typical axion models, these symmetries can be…

High Energy Physics - Phenomenology · Physics 2023-02-28 Jérémie Quevillon , Christopher Smith , Pham Ngoc Hoa Vuong

Recent work has proposed a method for imposing T-duality on the metric, $B$-field, and dilaton of the classical effective action of string theory without using Kaluza-Klein reduction. Specifically, the $D$-dimensional effective action…

High Energy Physics - Theory · Physics 2023-10-17 Mohammad R. Garousi

Spontaneous violation of Lorentz symmetry by the vacuum condensation of an antisymmetric $2$-tensor is considered. The coset construction for nonlinear realization of spacetime symmetries is employed to build the most general low-energy…

High Energy Physics - Theory · Physics 2016-11-23 Carlos A. Hernaski

We present a detailed derivation of the quantum and quantum-thermal effective action for non-relativistic systems, starting from the single particle case and extending to the Gross-Pitaevskii (GP) field theory for weakly interacting bosons.…

Quantum Gases · Physics 2025-12-02 Luca Salasnich

The effective Hamiltonian serves as the conceptual pivot of quantum engineering, transforming physical complexity into programmable logic; yet, its construction remains compromised by the mathematical non-uniqueness of block…

Quantum Physics · Physics 2026-02-04 Hao-Yu Guan , Xiao-Long Zhu , Yu-Hang Dang , Xiu-Hao Deng
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