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We derive the most generic Carrollian higher derivative free scalar field theory intrinsically on a Carrollian manifold. The solutions to these theories are massless free particles propagating with speeds depending on the coupling constants…

High Energy Physics - Theory · Physics 2025-01-06 Poula Tadros , Ivan Kolář

Carrollian field theories have recently emerged as a candidate dual to flat space quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a strong sensitivity to the ultraviolet. They can be regulated…

High Energy Physics - Theory · Physics 2024-10-15 Jordan Cotler , Kristan Jensen , Stefan Prohazka , Amir Raz , Max Riegler , Jakob Salzer

We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look…

High Energy Physics - Theory · Physics 2020-03-18 Arjun Bagchi , Rudranil Basu , Aditya Mehra , Poulami Nandi

We consider the Quartic Horndeski theory with torsion on a FLRW background in the second order formalism. We show that there is a one parameter family of Quartic Horndeski Cartan Lagrangians and all such theories only modify the dispersion…

High Energy Physics - Theory · Physics 2024-02-06 S. Mironov , M. Valencia-Villegas

Based on the principle of relativity, we find that the sufficient and necessary condition for the general covariance of a field theory actually requires more than the invariance of its local Langrangian density. If the spacetime is not a…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Bing Hurl

We examine the effective theory of single-field inflation in the limit where the scalar perturbations propagate with a small speed of sound. In this case the non-linearly realized time-translation symmetry of the Lagrangian implies large…

High Energy Physics - Theory · Physics 2015-05-27 Daniel Baumann , Daniel Green

We construct classical theories for scalar fields in arbitrary Carroll spacetimes that are invariant under Carrollian diffeomorphisms and Weyl transformations. When the local symmetries are gauge fixed these theories become Carrollian…

High Energy Physics - Theory · Physics 2021-04-07 Nishant Gupta , Nemani V. Suryanarayana

The exploration of scalar field theories that exhibit Carroll and Galilei symmetries has attracted a lot of attention. In this paper, we generalize these studies to fermionic field theories and construct consistent electric and magnetic…

High Energy Physics - Theory · Physics 2024-01-17 Konstantinos Koutrolikos , Mojtaba Najafizadeh

We investigate the (conformally coupled) scalar field on a general Carrollian spacetime in arbitrary dimension. The analysis discloses electric and magnetic dynamics. For both, we provide the energy and the momenta of the field, accompanied…

High Energy Physics - Theory · Physics 2022-10-12 David Rivera-Betancour , Matthieu Vilatte

Carrollian field theories at the classical level possess an infinite number of space-time symmetries, namely the supertranslations. In this article, we inquire whether these symmetries for interacting Carrollian scalar field theory survive…

High Energy Physics - Theory · Physics 2024-01-02 Kinjal Banerjee , Rudranil Basu , Bhagya Krishnan , Sabyasachi Maulik , Aditya Mehra , Augniva Ray

In this paper, we propose a novel way to construct off-shell actions of $d$-dimensional Carrollian field theories by considering the null-reduction of the Bargmann invariant actions in $d+1$ dimensions. This is based on the fact that…

High Energy Physics - Theory · Physics 2023-09-11 Bin Chen , Reiko Liu , Haowei Sun , Yu-fan Zheng

This work concerns scalar field theories with topologically nontrivial vacuum manifold in rotationally symmetric backgrounds of arbitrary dimension. Lagrangians with canonical and generalized kinetic terms are considered, and a Bogomol'nyi…

High Energy Physics - Theory · Physics 2026-05-15 I. Andrade , M. A. Liao

Adopting an intrinsic Carrollian viewpoint, we show that the generic Carrollian scalar field action is a combination of electric and magnetic actions, found in the literature by taking the Carrollian limit of the relativistic scalar field.…

High Energy Physics - Theory · Physics 2023-11-21 Luca Ciambelli

The theory of freely-propagating massless higher spins is usually formulated via gauge fields and parameters subject to trace constraints. We summarize a proposal allowing to forego them by introducing only a pair of additional fields in…

High Energy Physics - Theory · Physics 2015-06-26 D. Francia , A. Sagnotti

Many candidate fundamental theories contain scalar fields that can acquire spacetime-varying expectation values in a cosmological context. Such scalars typically obey Lorentz-violating effective dispersion relations. We illustrate this fact…

Astrophysics · Physics 2009-11-10 Orfeu Bertolami , Ralf Lehnert , Robertus Potting , Andre Ribeiro

Field-theoretic description of Carrollian theories has largely remained classical so far. In this paper, we attempt to study the renormalization of Carrollian gauge field theories via path integral techniques. The case of Carrollian…

High Energy Physics - Theory · Physics 2023-09-04 Aditya Mehra , Aditya Sharma

We introduce a new set of effective field theory rules for constructing Lagrangians with $\mathcal{N} = 1$ supersymmetry in collinear superspace. In the standard superspace treatment, superfields are functions of the coordinates…

High Energy Physics - Theory · Physics 2020-03-25 Timothy Cohen , Gilly Elor , Andrew J. Larkoski , Jesse Thaler

A consistent theory of faster-than-light particles (tachyons) can be built replacing the standard Lorentz-invariant approach to the quantum field theory of tachyons by the Lorentz-covariant one, invoking a concept of the preferred reference…

General Physics · Physics 2019-06-17 Vassili F. Perepelitsa

We perform a general analysis of the dynamic structure of two classes of relativistic lagrangian field theories exhibiting static spherically symmetric non-topological soliton solutions. The analysis is concerned with (multi-) scalar fields…

High Energy Physics - Theory · Physics 2009-03-12 J. Diaz-Alonso , D. Rubiera-Garcia

In a four-dimensional space, I shall construct all of the conformally invariant scalar-tensor field theories, which are flat space compatible; i.e., well-defined and differentiable when evaluated for a flat metric tensor and constant scalar…

General Relativity and Quantum Cosmology · Physics 2017-06-16 Gregory W. Horndeski
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