Mass gap in the weak coupling limit of $(2+1)$ SU(2) lattice gauge theory

Ramesh Anishetty; T. P. Sreeraj

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Mass gap in the weak coupling limit of $(2+1)$ SU(2) lattice gauge theory

Ramesh Anishetty, T. P. Sreeraj

High Energy Physics - Lattice · Submitted 17 Feb 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.05 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We develop the dual description of $2+1$ SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons. "Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics more transparent. Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We develop the dual description of $2+1$ SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons.	contribution 0.56	0.94	0.09	asserted 1.00
s1	"Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics more transparent.	method 0.94	0.87	0.05	asserted 1.00
s2	Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.	method 0.70	0.93	0.71	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 1.00.

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Original abstract

We develop the dual description of $2+1$ SU(2) lattice gauge theory as interacting `abelian like' electric loops by using Schwinger bosons. "Point splitting" of the lattice enables us to construct explicit Hilbert space for the gauge invariant theory which in turn makes dynamics more transparent. Using path integral representation in phase space, the interacting closed loop dynamics is analyzed in the weak coupling limit to get the mass gap.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions
hep-lat 2026-02 unverdicted novelty 6.0 of 10

A multi-part truncation for lattice QCD with fermions enables explicit Hamiltonians in 1+1D and 2+1D and string-breaking simulations by capping basis states, electric energy, fermions per site, and using large-Nc matr...
Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
hep-lat 2020-09 conditional novelty 6.0 of 10

For SU(2) lattice gauge theory in 1+1 dimensions, the Loop-String-Hadron formulation offers the most efficient physical Hilbert-space encoding that still generalizes to higher dimensions, at a classical computational ...

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4 arXiv papers cite this in 10 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Uses its method or tool 2 papers

Then using the virtual point splitting technique of [ref] , we move to the virtual hexagonal lattice.

Low Energy Spectrum of SU(2) Lattice Gauge Theory: An Alternate Proposal via Loop Formulation · Introduction · 0.99
The latter case requires a technique known as virtual point-splitting [ref] to construct a local basis that only contains gauge invariant states.

Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions · Kogut-Susskind Hamiltonian · 0.80

Cites it as background 1 paper

In a recent and parallel work [ref] , the point splitting lattice is constructed and utilized to analytically study the weak coupling limit of SU(2) lattice gauge theory in $2+1$ dimension as well.

Low Energy Spectrum of SU(2) Lattice Gauge Theory: An Alternate Proposal via Loop Formulation · Summary and future directions · 0.91

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