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Assuming dynamical spontaneous breakdown of chiral symmetry for massless gauge theory without scalar fields, we present a method how to construct an effective action of the dynamical Nambu-Goldstone bosons and elemetary fermions by using…

High Energy Physics - Theory · Physics 2007-05-23 T. Matsuki , M. Shiotani , R. W. Haymaker

We derive scalar effective field theories - Lagrangians, symmetries, and all - from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at…

High Energy Physics - Theory · Physics 2015-06-10 Clifford Cheung , Karol Kampf , Jiri Novotny , Jaroslav Trnka

We investigate the soft behaviour of scalar effective field theories (EFTs) when there is a number of distinct derivative power counting parameters, $\rho_1< \rho_2<\ldots < \rho_Q$. We clarify the notion of an enhanced soft limit and use…

High Energy Physics - Theory · Physics 2017-04-26 Antonio Padilla , David Stefanyszyn , Toby Wilson

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

We study the soft behavior of two seemingly different particles that are both referred to as dilatons in the literature, namely the one that appears in theories of gravity and in string theory and the Nambu-Goldstone boson of spontaneously…

High Energy Physics - Theory · Physics 2016-04-22 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza , Josh Nohle

This study explores a dark matter model in which a pseudo-Nambu-Goldstone boson arises as a viable dark matter candidate from the spontaneous and soft breaking of global $\mathrm{U}(1)$ symmetries and stabilized by a residual $\mathbb{Z}_3$…

High Energy Physics - Phenomenology · Physics 2025-08-07 Riasat Sheikh , Takashi Toma , Koji Tsumura

The naturalness problem in the Higgs sector finds a popular solution in composite Higgs models. In such theories the Higgs boson emerges as the pseudo-Nambu-Goldstone boson associated with the breaking of a global symmetry realised in a…

High Energy Physics - Lattice · Physics 2021-12-03 Luigi Del Debbio , Alessandro Lupo , Marco Panero , Nazario Tantalo

In the framework of a hamiltonian nonperturbative approach we show that after demanding current conservation together with the Gauss constraints at some initial time in a nonabelian Nambu model, we recover the corresponding Yang-Mills…

High Energy Physics - Phenomenology · Physics 2016-07-13 L. F. Urrutia

We formulate the Nambu-Goldstone theorem as a triangular relation between pairs of Goldstone bosons with the degenerate vacuum. The vacuum degeneracy is then a natural consequence of this relation. Inside the scenario of String Theory, we…

General Physics · Physics 2017-05-08 Ivan Arraut

Over the past year, the "scalar-scaffolding" formalism has revealed a number of new features of gluon amplitudes. In this paper, we leverage these developments to study two distinct but related questions, linked by the scaffolding statement…

High Energy Physics - Theory · Physics 2025-09-23 Jeffrey V. Backus , Carolina Figueiredo

Celestial amplitudes are flat-space amplitudes which are Mellin-transformed to correlators living on the celestial sphere. In this note we present a recursion relation, based on a tree-level BCFW recursion, for gravitational celestial…

High Energy Physics - Theory · Physics 2019-06-20 Alfredo Guevara

In a six-dimensional gauge theory compactified on a torus with magnetic flux, translational symmetry in the extra dimensions is broken. As a result, a massless Nambu-Goldstone boson appears in the four-dimensional effective Lagrangian. We…

High Energy Physics - Theory · Physics 2025-09-03 Victor Franken

In this paper we give a variation of the gauge procedure which employs a scalar gauge field, $B (x)$, in addition to the usual vector gauge field, $A_\mu (x)$. We study this variant of the usual gauge procedure in the context of a complex…

High Energy Physics - Theory · Physics 2015-06-18 Eduardo I. Guendelman , Douglas Singleton

We present a functional derivation of recursion rules for scattering amplitudes in a non-Abelian gauge theory in a form valid to arbitrary loop order. The tree-level and one-loop recursion rules are explicitly displayed.

High Energy Physics - Theory · Physics 2016-08-24 Chanju Kim , V. P. Nair

Using the AdS/CFT correspondence we study vacua of N=4 SYM for which part of the gauge symmetry is broken by expectation values of scalar fields. A specific subclass of such vacua can be analyzed with gauged supergravity and the…

High Energy Physics - Theory · Physics 2007-05-23 A. Brandhuber , K. Sfetsos

Gauge theory approach to consideration of the Nambu-Goldstone bosons as gauge and vector fields represented by the Cartan forms of spontaneously broken symmetries, is discussed. The approach is generalized to describe the fundamental branes…

High Energy Physics - Theory · Physics 2017-03-16 A. A. Zheltukhin

We generalize soft theorems of the nonlinear sigma model beyond the $\mathcal{O} (p^2)$ amplitudes and the coset of $\text{SU} (N) \times \text{SU} (N) / \text{SU} (N) $. We first discuss the universal flavor ordering of the amplitudes for…

High Energy Physics - Theory · Physics 2021-09-15 Laurentiu Rodina , Zhewei Yin

We analyze the off-shell scattering amplitudes in the framework of the light-front perturbation theory. It is shown that the previously derived recursion relation between tree level off-shell amplitudes in this formalism actually resums…

High Energy Physics - Phenomenology · Physics 2015-06-24 C. Cruz-Santiago , P. Kotko , A. Stasto

In the gauge-theoretic formulation of gravity the cubic vertex becomes simple enough for some graviton scattering amplitudes to be computed using Berends-Giele-type recursion relations. We present such a computation for the current with all…

High Energy Physics - Theory · Physics 2018-09-05 Gianluca Delfino , Kirill Krasnov , Carlos Scarinci

We calculate the scattering lengths of Nambu-Goldstone bosons interacting with $D$ mesons in a covariant formulation of chiral perturbation theory, which satisfies heavy-quark spin symmetry and analytical properties of loop amplitudes. We…

High Energy Physics - Phenomenology · Physics 2014-11-21 L. S. Geng , N. Kaiser , J. Martin-Camalich , W. Weise