Like some info Wood to cement

if the cement is clean and dry, a good thick bead of 2-part epoxy.

better to use tapcons.

Agreed. It'll cost you a fortune to use epoxt for such a large area. Beg, borrow, or steal a hammer-drill ($120) and get some tapcon screws ($45-60).

Why the requirement of no "nails"?

The fastest & easiest way to attach the treated sill of your wall to the concrete floor is:

Pre-drill the sill (1/2 or 5/8 depending one local requirements) I use

Rotary hammer into the floor

Hammer in a "drop in" style anchor.....Hiti Quik Bolt or equal; SImpson Strong tie had a screw in type anchor

IF you must have an adhesive solution

Use SIKA AnchorFix #1 or #3 & put two heavy (3/8") beads on the bottom of the sill about 3/4" in from each edge. Be aware that this solution will cost about $2 per ft of sill anchored. A single cartridge will only do about 7 ft.

AnchorFix #1 gels in 5 minutes, hard in 1/2 hour #3 gels in 1/2 hr hard overnight

cheers Bob

IMO use mechanical fasteners

What's wrong with shooting it down with a ramset? They were used for years and walls are still standing.

Polyurethane construction adhesive in a tube for a caulking gun. About $4 a tube. Incredibly strong stuff.

cuz' the OP asked for glue?

He didn't want nails

Rotary hammer, a drill & misc hand tools seemed like a better suggestion

just my 2 cents

cheers Bob