Skip to main content

Condensed Matter > Statistical Mechanics

arXiv:1906.08626 (cond-mat)
[Submitted on 20 Jun 2019 (v1), last revised 1 Nov 2019 (this version, v2)]

Title:Path integrals for higher derivative actions

Authors:David S. Dean, Bing Miao, Rudi Podgornik
View PDF HTML (experimental)
Abstract:We consider Euclidean path integrals with higher derivative actions, including those that depend quadratically on acceleration, velocity and position. Such path integrals arise naturally in the study of stiff polymers, membranes with bending rigidity as well as a number of models for electrolytes. The approach used is based on the relation between quadratic path integrals and Gaussian fields and we also show how it can be extended to the evaluation of even higher order path integrals.
Comments: Revtex 12 pages
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Cite as: arXiv:1906.08626 [cond-mat.stat-mech]
  (or arXiv:1906.08626v2 [cond-mat.stat-mech] for this version)
  https://doi.org/10.48550/arXiv.1906.08626
Journal reference: J. Phys. A 52, 505003 (2019)
Related DOI: https://doi.org/10.1088/1751-8121/ab54df

Submission history

From: David S. Dean [view email]
[v1] Thu, 20 Jun 2019 13:57:06 UTC (13 KB)
[v2] Fri, 1 Nov 2019 12:27:30 UTC (13 KB)
Full-text links:

Access Paper:

view license

Current browse context:

cond-mat.stat-mech
< prev   |   next >
new | recent | 2019-06
Change to browse by:
cond-mat

References & Citations

Bookmark

BibSonomy Reddit

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)