Mapping Effective Field Theory to Multifractal Geometry

Ervin Goldfain

doi:10.20944/preprints202105.0502.v2

Comment 1

Received: 24 May 2021
Commenter: Ervin Goldfain
Commenter's Conflict of Interests: Author

Comment: 1) Added text on page 8 as follows:

“The so-called backward map iteration starts from the whole phase space and partitions it in a distribution of disjoint intervals, a process that is formally equivalent to coarse graining 0f the phase space [4]. It is intuitively clear that coarse graining by backward iteration mirrors the error propagation equation (18), which describes the progressive growth of separation between nearby trajectories. As a result, setting the maximal propagation error to unity, and performing the identification [4]”

2) Added text on page 13 as follows:

“Besides (39), we proceed with the following assumptions:
A1) The effective Lagrangian (34) contains individual groups of terms having the same mass dimension . To avoid cluttering the notation, we use a single index for labeling these terms, that is,...
A2) Each operator is the product of operators .... “

+ Respond to this comment

Not displayed online.

Please leave your comment to this article below.

Mathematical equations can be typed in either LaTeX formats \\[ ... \\] or $$ ... $$, or MathML format <math> ... </math>. Try the LaTeX or MathML example.

Type equation:

Preview:

Copy equation into message below

Close menu

Please click a symbol to insert it into the message box below:

Please enter the link here:

Optionally, you can enter text that should appear as linked text:

Copy link into message below

Please enter or paste the URL to the image here (please only use links to jpg/jpeg, png and gif images):

Copy image into message below

Type author name or keywords to filter the list of references in this group (you can add a new citation under Bibliography):

No existing citations in Discussion Group

Wikify editor is a simple editor for wiki-style mark-up. It was written by MDPI for Sciforum in 2014. The rendering of the mark-up is based on Wiky.php with some tweaks. Rendering of mathematical equations is done with MathJax. Please send us a message for support or for reporting bugs.

Please declare any conflicts of interest you may have with this paper, financial or otherwise.

I do not have a conflict of interest

I would like to declare a conflict of interest

Display my name on the website

Captcha

Renew

I accept the following conditions:

Comments must follow the standards of professional discourse and should focus on the scientific content of the article. Insulting or offensive language, personal attacks and off-topic remarks will not be permitted. Comments must be written in English. Preprints reserves the right to remove comments without notice. Readers who post comments are obliged to declare any competing interests, financial or otherwise.

Mapping Effective Field Theory to Multifractal Geometry

Abstract

Keywords

Subject

Comments (1)