scholarly journals More on the cubic versus quartic interaction equivalence in the O(N) model

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Oleg Antipin ◽  
Jahmall Bersini ◽  
Francesco Sannino ◽  
Zhi-Wei Wang ◽  
Chen Zhang
Keyword(s):  
Quartic Interaction

scholarly journals THE CRITICAL POINT OF UNORIENTED RANDOM SURFACES WITH A NONEVEN POTENTIAL

1993 ◽  
Vol 08 (06) ◽  
pp. 1139-1152
Author(s):  
M.A. MARTÍN-DELGADO
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Critical Point ◽  
Discrete Model ◽  
Recursion Relation ◽  
Scaling Limit ◽  
Random Surfaces ◽  
Matrix Ensemble ◽  
Quartic Interaction ◽  
Double Scaling Limit

The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model. The double scaling-limit of the recursion relation leads to a Miura transformation relating the contributions to the free energy coming from oriented and unoriented random surfaces. This transformation is the same kind as found with a quartic interaction.

q-Anharmonic oscillator with quartic interaction

Pramana ◽  
1992 ◽  
Vol 39 (5) ◽  
pp. 521-528 ◽  
Author(s):  
V C Kuriakose ◽  
K K Leelamma ◽  
K Babu Joseph
Keyword(s):  
Anharmonic Oscillator ◽  
Quartic Interaction

scholarly journals Searching for Elko dark matter spinors at the CERN LHC

2015 ◽  
Vol 30 (01) ◽  
pp. 1550006 ◽  
Author(s):  
Alexandre Alves ◽  
F. de Campos ◽  
M. Dias ◽  
J. M. Hoff da Silva
Keyword(s):  
Dark Matter ◽  
Hadron Collider ◽  
Higgs Field ◽  
Tree Level ◽  
Dark Matter Candidate ◽  
Mass Dimension ◽  
Quartic Interaction ◽  
Relic Abundance ◽  
Dimension One ◽  
Higgs Portal

The aim of this paper is to explore the possibility of discovering a fermionic field with mass dimension one, the Elko field, in the Large Hadron Collider. Due to its mass dimension, an Elko can only interact either with Standard Model spinors and gauge fields at one-loop order or at tree level through a quartic interaction with the Higgs field. In this Higgs portal scenario, the Elko is a viable candidate to a dark matter constituent which has been shown to be compatible with relic abundance measurements from WMAP and direct dark matter searches. We propose a search strategy for this dark matter candidate in the channel [Formula: see text] at the [Formula: see text] LHC. We show the LHC potential to discover the Elko considering a triple Higgs–Elkos coupling as small as ~0.5 after 1 ab-1 of integrated luminosity. Some phenomenological consequences of this new particle and its collider signatures are also discussed.

scholarly journals Deriving spin-1 quartic interaction vertices from closure of the Poincaré algebra

2018 ◽  
Vol 926 ◽  
pp. 11-19 ◽  
Author(s):  
Sudarshan Ananth ◽  
Aditya Kar ◽  
Sucheta Majumdar ◽  
Nabha Shah
Keyword(s):  
Poincaré Algebra ◽  
Quartic Interaction

U=∞ HUBBARD MODEL: TOWARDS THE EXACT SOLUTION IN d=∞

1989 ◽  
Vol 03 (12) ◽  
pp. 2149-2157
Author(s):  
Václav Janiš
Keyword(s):  
Field Theory ◽  
Exact Solution ◽  
External Field ◽  
Integral Representation ◽  
Hubbard Model ◽  
Cluster Expansion ◽  
Degrees Of Freedom ◽  
Exact Expression ◽  
Inhomogeneous Field ◽  
Quartic Interaction

We investigate the U=∞ Hubbard model. Using a Grassmann-integral representation, we transform this model to a Grassmann field theory with two degrees of freedom per site and with a local quartic interaction. An external inhomogeneous field is introduced so that the linked-cluster expansion be applicable. All 1-loop contributions from this expansion are summed up and an exact expression for the inhomogeneous grandcanonical potential dependent on the auxiliary external field in d=∞ is found.

scholarly journals CLOSED STRING TACHYONS ON C/ZN

2004 ◽  
Vol 19 (32) ◽  
pp. 5625-5638 ◽  
Author(s):  
S. SARKAR ◽  
B. SATHIAPALAN
Keyword(s):  
Point Interaction ◽  
Closed String ◽  
Effective Field ◽  
Quartic Coupling ◽  
Interaction Terms ◽  
Large N ◽  
Quartic Term ◽  
Quartic Interaction ◽  
Interaction Term ◽  
Closed String Tachyons

We analyze the condensation of closed string tachyons on the C/ZN orbifold. We construct the potential for the tachyons up to the quartic interaction term in the large N limit. In this limit there are near marginal tachyons. The quartic coupling for these tachyons is calculated by subtracting from the string theory amplitude for the tachyons, the contributions from the massless exchanges, computed from the effective field theory. We argue that higher point interaction terms are also of the same order in 1/N as the quartic term and are necessary for existence of the minimum of the tachyon potential that is consistent with earlier analysis.

scholarly journals Effective field theory for closed strings near the Hagedorn temperature

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Ram Brustein ◽  
Yoav Zigdon
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Action ◽  
Equations Of Motion ◽  
Flat Space ◽  
Conformal Structure ◽  
Effective Field ◽  
Conformally Invariant ◽  
Conformal Field ◽  
Quartic Interaction

Abstract We discuss interacting, closed, bosonic and superstrings in thermal equilibrium at temperatures close to the Hagedorn temperature in flat space. We calculate S-matrix elements of the strings at the Hagedorn temperature and use them to construct a low-energy effective action for interacting strings near the Hagedorn temperature. We show, in particular, that the four-point amplitude of massless winding modes leads to a positive quartic interaction. Furthermore, the effective field theory has a generalized conformal structure, namely, it is conformally invariant when the temperature is assigned an appropriate scaling dimension. Then, we show that the equations of motion resulting from the effective action possess a winding-mode-condensate background solution above the Hagedorn temperature and present a worldsheet conformal field theory, similar to a Sine-Gordon theory, that corresponds to this solution. We find that the Hagedorn phase transition in our setup is second order, in contrast to a first-order transition that was found previously in different setups.

scholarly journals Recursive construction of the operator product expansion in curved space

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Markus B. Fröb
Keyword(s):  
Operator Product Expansion ◽  
Natural Extension ◽  
Coupling Constants ◽  
Operator Product ◽  
De Sitter ◽  
Curved Space ◽  
Free Theory ◽  
Quartic Interaction ◽  
Quantum Action ◽  
Quantum Action Principle

Abstract I derive a formula for the coupling-constant derivative of the coefficients of the operator product expansion (Wilson OPE coefficients) in an arbitrary curved space, as the natural extension of the quantum action principle. Expanding the coefficients themselves in powers of the coupling constants, this formula allows to compute them recursively to arbitrary order. As input, only the OPE coefficients in the free theory are needed, which are easily obtained using Wick’s theorem. I illustrate the method by computing the OPE of two scalars ϕ in hyperbolic space (Euclidean Anti-de Sitter space) up to terms vanishing faster than the square of their separation to first order in the quartic interaction gϕ4, as well as the OPE coefficient "Image missing" at second order in g.

Sign in / Sign up

Export Citation Format

Share Document